101022112011 has 16 divisors (see below), whose sum is σ = 135112359200. Its totient is φ = 67140057600.

The previous prime is 101022112001. The next prime is 101022112021. The reversal of 101022112011 is 110211220101.

It is an interprime number because it is at equal distance from previous prime (101022112001) and next prime (101022112021).

It is not a de Polignac number, because 101022112011 - 2⁶ = 101022111947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6589491 + ... + 6604803.

It is an arithmetic number, because the mean of its divisors is an integer number (8444522450).

Almost surely, 2^101022112011 is an apocalyptic number.

101022112011 is a deficient number, since it is larger than the sum of its proper divisors (34090247189).

101022112011 is a wasteful number, since it uses less digits than its factorization.

101022112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21966.

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

Adding to 101022112011 its reverse (110211220101), we get a palindrome (211233332112).

The spelling of 101022112011 in words is "one hundred one billion, twenty-two million, one hundred twelve thousand, eleven".