100102001010011 has 32 divisors (see below), whose sum is σ = 134404543558656. Its totient is φ = 72000444528000.

The previous prime is 100102001009903. The next prime is 100102001010043. The reversal of 100102001010011 is 110010100201001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100102001010011 - 2²² = 100101996815707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102001010511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76055141 + ... + 77360121.

It is an arithmetic number, because the mean of its divisors is an integer number (4200141986208).

Almost surely, 2^{100102001010011} is an apocalyptic number.

100102001010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100102001010011 is a deficient number, since it is larger than the sum of its proper divisors (34302542548645).

100102001010011 is a wasteful number, since it uses less digits than its factorization.

100102001010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381643.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100102001010011 its reverse (110010100201001), we get a palindrome (210112101211012).

The spelling of 100102001010011 in words is "one hundred trillion, one hundred two billion, one million, ten thousand, eleven".