101122122213001 has 16 divisors (see below), whose sum is σ = 106708496536960. Its totient is φ = 95562331787520.

The previous prime is 101122122212959. The next prime is 101122122213011. The reversal of 101122122213001 is 100312221221101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122122213001 is a prime.

It is a super-2 number, since 2×101122122213001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 101122122213001.

It is not an unprimeable number, because it can be changed into a prime (101122122213011) 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, 19327105 + ... + 23995441.

It is an arithmetic number, because the mean of its divisors is an integer number (6669281033560).

Almost surely, 2^{101122122213001} is an apocalyptic number.

It is an amenable number.

101122122213001 is a deficient number, since it is larger than the sum of its proper divisors (5586374323959).

101122122213001 is a wasteful number, since it uses less digits than its factorization.

101122122213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671184.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101122122213001 its reverse (100312221221101), we get a palindrome (201434343434102).

The spelling of 101122122213001 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred thirteen thousand, one".