101122122020001 has 8 divisors (see below), whose sum is σ = 135006670137504. Its totient is φ = 67326160957920.

The previous prime is 101122122019901. The next prime is 101122122020057. The reversal of 101122122020001 is 100020221221101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101122122020001 - 2²² = 101122117825697 is a prime.

It is a super-2 number, since 2×101122122020001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101122122020701) 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 7 ways as a sum of consecutive naturals, for example, 22146761191 + ... + 22146765756.

It is an arithmetic number, because the mean of its divisors is an integer number (16875833767188).

Almost surely, 2^{101122122020001} is an apocalyptic number.

It is an amenable number.

101122122020001 is a deficient number, since it is larger than the sum of its proper divisors (33884548117503).

101122122020001 is an equidigital number, since it uses as much as digits as its factorization.

101122122020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44293527711.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101122122020001 its reverse (100020221221101), we get a palindrome (201142343241102).

The spelling of 101122122020001 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty thousand, one".