2011012001100 has 108 divisors (see below), whose sum is σ = 6635163629640. Its totient is φ = 508045132800.

The previous prime is 2011012001087. The next prime is 2011012001113. The reversal of 2011012001100 is 11002101102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2011012001087) and next prime (2011012001113).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58784421 + ... + 58818620.

Almost surely, 2^{2011012001100} is an apocalyptic number.

2011012001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011012001100 is an abundant number, since it is smaller than the sum of its proper divisors (4624151628540).

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

2011012001100 is a wasteful number, since it uses less digits than its factorization.

2011012001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117603080 (or 117603070 counting only the distinct ones).

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

Adding to 2011012001100 its reverse (11002101102), we get a palindrome (2022014102202).

The spelling of 2011012001100 in words is "two trillion, eleven billion, twelve million, one thousand, one hundred".