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101220100100 = 22527269537547
BaseRepresentation
bin101111001000100110…
…0000010100000000100
3100200021012110211221022
41132101030002200010
53124244321200400
6114255550010312
710212220440440
oct1362114024004
9320235424838
10101220100100
1139a22120399
121774a4a6998
139711520a72
144c83103820
1529763e5b85
hex1791302804

101220100100 has 72 divisors (see below), whose sum is σ = 251959498560. Its totient is φ = 34574958720.

The previous prime is 101220099979. The next prime is 101220100117. The reversal of 101220100100 is 1001022101.

101220100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80474 + ... + 457073.

It is an arithmetic number, because the mean of its divisors is an integer number (3499437480).

Almost surely, 2101220100100 is an apocalyptic number.

101220100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220100100 is an abundant number, since it is smaller than the sum of its proper divisors (150739398460).

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

101220100100 is a wasteful number, since it uses less digits than its factorization.

101220100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537837 (or 537830 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101220100100 its reverse (1001022101), we get a palindrome (102221122201).

The spelling of 101220100100 in words is "one hundred one billion, two hundred twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 269 350 538 700 1076 1345 1883 2690 3766 5380 6725 7532 9415 13450 18830 26900 37660 47075 94150 188300 537547 1075094 2150188 2687735 3762829 5375470 7525658 10750940 13438675 15051316 18814145 26877350 37628290 53754700 75256580 94070725 144600143 188141450 289200286 376282900 578400572 723000715 1012201001 1446001430 2024402002 2892002860 3615003575 4048804004 5061005005 7230007150 10122010010 14460014300 20244020020 25305025025 50610050050 101220100100