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101221122021112 = 23233140574374079
BaseRepresentation
bin10111000000111101100001…
…000001011001011011111000
3111021101122102000211111010101
4113000331201001121123320
5101231401324214133422
6555140201433325144
730214661523102622
oct2700754101313370
9437348360744111
10101221122021112
112a285700608365
12b4293b8b667b4
1344631596c95a2
141add1b2653c12
15ba7ed89abc27
hex5c0f610596f8

101221122021112 has 64 divisors (see below), whose sum is σ = 204480191692800. Its totient is φ = 46836927371520.

The previous prime is 101221122021079. The next prime is 101221122021113. The reversal of 101221122021112 is 211120221122101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221122021112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221122021113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20954089 + ... + 25328167.

It is an arithmetic number, because the mean of its divisors is an integer number (3195002995200).

Almost surely, 2101221122021112 is an apocalyptic number.

It is an amenable number.

101221122021112 is an abundant number, since it is smaller than the sum of its proper divisors (103259069671688).

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

101221122021112 is a wasteful number, since it uses less digits than its factorization.

101221122021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378196 (or 4378192 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101221122021112 its reverse (211120221122101), we get a palindrome (312341343143213).

The spelling of 101221122021112 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 23 31 46 62 92 124 184 248 713 1426 2852 4057 5704 8114 16228 32456 93311 125767 186622 251534 373244 503068 746488 1006136 2892641 4374079 5785282 8748158 11570564 17496316 23141128 34992632 100603817 135596449 201207634 271192898 402415268 542385796 804830536 1084771592 3118718327 6237436654 12474873308 17745638503 24949746616 35491277006 70982554012 141965108024 408149685569 550114793593 816299371138 1100229587186 1632598742276 2200459174372 3265197484552 4400918348744 12652640252639 25305280505278 50610561010556 101221122021112