101220022200121 has 64 divisors (see below), whose sum is σ = 114658832793600. Its totient is φ = 88580754662400.

The previous prime is 101220022200061. The next prime is 101220022200149. The reversal of 101220022200121 is 121002220022101.

It is a happy number.

It is not a de Polignac number, because 101220022200121 - 2²⁷ = 101219887982393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101220022200095 and 101220022200104.

It is not an unprimeable number, because it can be changed into a prime (101220022210121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2077093326 + ... + 2077142056.

It is an arithmetic number, because the mean of its divisors is an integer number (1791544262400).

Almost surely, 2^{101220022200121} is an apocalyptic number.

101220022200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101220022200121 is a deficient number, since it is larger than the sum of its proper divisors (13438810593479).

101220022200121 is a wasteful number, since it uses less digits than its factorization.

101220022200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49270.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101220022200121 its reverse (121002220022101), we get a palindrome (222222242222222).

The spelling of 101220022200121 in words is "one hundred one trillion, two hundred twenty billion, twenty-two million, two hundred thousand, one hundred twenty-one".