101122211001 has 16 divisors (see below), whose sum is σ = 163155164544. Its totient is φ = 54385054464.

The previous prime is 101122210979. The next prime is 101122211041. The reversal of 101122211001 is 100112221101.

It is not a de Polignac number, because 101122211001 - 2¹³ = 101122202809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122211041) 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, 141627390 + ... + 141628103.

It is an arithmetic number, because the mean of its divisors is an integer number (10197197784).

Almost surely, 2^101122211001 is an apocalyptic number.

It is an amenable number.

101122211001 is a deficient number, since it is larger than the sum of its proper divisors (62032953543).

101122211001 is a wasteful number, since it uses less digits than its factorization.

101122211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283255520.

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

Adding to 101122211001 its reverse (100112221101), we get a palindrome (201234432102).

It can be divided in two parts, 10112221100 and 1, that added together give a palindrome (10112221101).

The spelling of 101122211001 in words is "one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, one".