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101221031100 = 223527172835323
BaseRepresentation
bin101111001000100111…
…1100101110010111100
3100200021021020011000210
41132101033211302330
53124300040443400
6114300021552420
710212231365640
oct1362117456274
9320237204023
10101221031100
1139a226a6912
121774a875710
139711788757
144c832a6c20
15297652b950
hex17913e5cbc

101221031100 has 144 divisors (see below), whose sum is σ = 354392817408. Its totient is φ = 21775272960.

The previous prime is 101221031029. The next prime is 101221031101. The reversal of 101221031100 is 1130122101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221031101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381962 + ... + 1453361.

It is an arithmetic number, because the mean of its divisors is an integer number (2461061232).

Almost surely, 2101221031100 is an apocalyptic number.

101221031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221031100 is an abundant number, since it is smaller than the sum of its proper divisors (253171786308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221031100 is a wasteful number, since it uses less digits than its factorization.

101221031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835364 (or 2835357 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101221031100 its reverse (1130122101), we get a palindrome (102351153201).

The spelling of 101221031100 in words is "one hundred one billion, two hundred twenty-one million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 2835323 5670646 8505969 11341292 14176615 17011938 19847261 28353230 34023876 39694522 42529845 48200491 56706460 59541783 70883075 79389044 85059690 96400982 99236305 119083566 141766150 144601473 170119380 192801964 198472610 212649225 238167132 241002455 283532300 289202946 297708915 337403437 396945220 425298450 482004910 496181525 578405892 595417830 674806874 723007365 850596900 964009820 992363050 1012210311 1190835660 1205012275 1349613748 1446014730 1488544575 1687017185 1984726100 2024420622 2410024550 2892029460 2977089150 3374034370 3615036825 4048841244 4820049100 5061051555 5954178300 6748068740 7230073650 8435085925 10122103110 14460147300 16870171850 20244206220 25305257775 33740343700 50610515550 101221031100