100102000111011 has 16 divisors (see below), whose sum is σ = 148313183355520. Its totient is φ = 66728400971400.

The previous prime is 100102000110991. The next prime is 100102000111021. The reversal of 100102000111011 is 110111000201001.

It is not a de Polignac number, because 100102000111011 - 2⁹ = 100102000110499 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102000110984 and 100102000111002.

It is not an unprimeable number, because it can be changed into a prime (100102000111021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173756245 + ... + 174331398.

It is an arithmetic number, because the mean of its divisors is an integer number (9269573959720).

Almost surely, 2^{100102000111011} is an apocalyptic number.

100102000111011 is a deficient number, since it is larger than the sum of its proper divisors (48211183244509).

100102000111011 is a wasteful number, since it uses less digits than its factorization.

100102000111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348098303 (or 348098297 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100102000111011 its reverse (110111000201001), we get a palindrome (210213000312012).

The spelling of 100102000111011 in words is "one hundred trillion, one hundred two billion, one hundred eleven thousand, eleven".