101000102212011 has 32 divisors (see below), whose sum is σ = 138033022300992. Its totient is φ = 65665931834880.

The previous prime is 101000102212007. The next prime is 101000102212027. The reversal of 101000102212011 is 110212201000101.

It is not a de Polignac number, because 101000102212011 - 2² = 101000102212007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000102212091) by changing a digit.

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, 58228561 + ... + 59938013.

It is an arithmetic number, because the mean of its divisors is an integer number (4313531946906).

Almost surely, 2^{101000102212011} is an apocalyptic number.

101000102212011 is a deficient number, since it is larger than the sum of its proper divisors (37032920088981).

101000102212011 is a wasteful number, since it uses less digits than its factorization.

101000102212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711743.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101000102212011 its reverse (110212201000101), we get a palindrome (211212303212112).

The spelling of 101000102212011 in words is "one hundred one trillion, one hundred two million, two hundred twelve thousand, eleven".