101021112112011 has 32 divisors (see below), whose sum is σ = 165892802761728. Its totient is φ = 53249036065920.

The previous prime is 101021112112009. The next prime is 101021112112013. The reversal of 101021112112011 is 110211211120101.

It is an interprime number because it is at equal distance from previous prime (101021112112009) and next prime (101021112112013).

It is not a de Polignac number, because 101021112112011 - 2¹ = 101021112112009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101021112112013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127469760 + ... + 128259821.

It is an arithmetic number, because the mean of its divisors is an integer number (5184150086304).

Almost surely, 2^{101021112112011} is an apocalyptic number.

101021112112011 is a deficient number, since it is larger than the sum of its proper divisors (64871690649717).

101021112112011 is a wasteful number, since it uses less digits than its factorization.

101021112112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255731051.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101021112112011 its reverse (110211211120101), we get a palindrome (211232323232112).

The spelling of 101021112112011 in words is "one hundred one trillion, twenty-one billion, one hundred twelve million, one hundred twelve thousand, eleven".