100102111211 has 16 divisors (see below), whose sum is σ = 111618524160. Its totient is φ = 89215447680.

The previous prime is 100102111201. The next prime is 100102111223. The reversal of 100102111211 is 112111201001.

It is a cyclic number.

It is not a de Polignac number, because 100102111211 - 2²² = 100097916907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102111192 and 100102111201.

It is not an unprimeable number, because it can be changed into a prime (100102111201) 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, 670946 + ... + 806456.

It is an arithmetic number, because the mean of its divisors is an integer number (6976157760).

Almost surely, 2^100102111211 is an apocalyptic number.

100102111211 is a deficient number, since it is larger than the sum of its proper divisors (11516412949).

100102111211 is a wasteful number, since it uses less digits than its factorization.

100102111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137834.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100102111211 its reverse (112111201001), we get a palindrome (212213312212).

The spelling of 100102111211 in words is "one hundred billion, one hundred two million, one hundred eleven thousand, two hundred eleven".