101122211120001 has 16 divisors (see below), whose sum is σ = 139390702589568. Its totient is φ = 65158396272000.

The previous prime is 101122211119981. The next prime is 101122211120069. The reversal of 101122211120001 is 100021112221101.

It is a happy number.

It is not a de Polignac number, because 101122211120001 - 2²³ = 101122202731393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122211130001) 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 15 ways as a sum of consecutive naturals, for example, 3016575660 + ... + 3016609181.

It is an arithmetic number, because the mean of its divisors is an integer number (8711918911848).

Almost surely, 2^{101122211120001} is an apocalyptic number.

It is an amenable number.

101122211120001 is a deficient number, since it is larger than the sum of its proper divisors (38268491469567).

101122211120001 is a wasteful number, since it uses less digits than its factorization.

101122211120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033185032.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101122211120001 its reverse (100021112221101), we get a palindrome (201143323341102).

The spelling of 101122211120001 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty thousand, one".