201100100100012 has 96 divisors (see below), whose sum is σ = 544771142415360. Its totient is φ = 64032574636800.

The previous prime is 201100100099993. The next prime is 201100100100023. The reversal of 201100100100012 is 210001001001102.

It is a happy number.

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 = 201100100099967 and 201100100100003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52634989 + ... + 56326212.

It is an arithmetic number, because the mean of its divisors is an integer number (5674699400160).

Almost surely, 2^{201100100100012} is an apocalyptic number.

It is an amenable number.

201100100100012 is an abundant number, since it is smaller than the sum of its proper divisors (343671042315348).

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

201100100100012 is a wasteful number, since it uses less digits than its factorization.

201100100100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108961980 (or 108961972 counting only the distinct ones).

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

Adding to 201100100100012 its reverse (210001001001102), we get a palindrome (411101101101114).

The spelling of 201100100100012 in words is "two hundred one trillion, one hundred billion, one hundred million, one hundred thousand, twelve".