101112111000210 has 64 divisors (see below), whose sum is σ = 242814232212480. Its totient is φ = 26947101988800.

The previous prime is 101112111000193. The next prime is 101112111000239. The reversal of 101112111000210 is 12000111211101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006210629 + ... + 1006311111.

It is an arithmetic number, because the mean of its divisors is an integer number (3793972378320).

Almost surely, 2^{101112111000210} is an apocalyptic number.

101112111000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112111000210 is an abundant number, since it is smaller than the sum of its proper divisors (141702121212270).

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

101112111000210 is a wasteful number, since it uses less digits than its factorization.

101112111000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120223.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101112111000210 its reverse (12000111211101), we get a palindrome (113112222211311).

The spelling of 101112111000210 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, two hundred ten", and thus it is an aban number.