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101101020012 = 22325634988209
BaseRepresentation
bin101111000101000010…
…1110010001101101100
3100122221220101221202200
41132022011302031230
53124023330120022
6114240053421500
710206243330246
oct1361205621554
9318856357680
10101101020012
11399709877a3
121771663a890
1396c2959785
144c71387096
15296ac22bac
hex178a17236c

101101020012 has 36 divisors (see below), whose sum is σ = 256014890040. Its totient is φ = 33640474752.

The previous prime is 101101020011. The next prime is 101101020019. The reversal of 101101020012 is 210020101101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101101019976 and 101101020003.

It is not an unprimeable number, because it can be changed into a prime (101101020011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2473837 + ... + 2514372.

Almost surely, 2101101020012 is an apocalyptic number.

101101020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101020012 is an abundant number, since it is smaller than the sum of its proper divisors (154913870028).

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

101101020012 is a wasteful number, since it uses less digits than its factorization.

101101020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988782 (or 4988777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101101020012 its reverse (210020101101), we get a palindrome (311121121113).

The spelling of 101101020012 in words is "one hundred one billion, one hundred one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 563 1126 1689 2252 3378 5067 6756 10134 20268 4988209 9976418 14964627 19952836 29929254 44893881 59858508 89787762 179575524 2808361667 5616723334 8425085001 11233446668 16850170002 25275255003 33700340004 50550510006 101101020012