101120222100121 has 32 divisors (see below), whose sum is σ = 123635599534080. Its totient is φ = 80836462425600.

The previous prime is 101120222100113. The next prime is 101120222100143. The reversal of 101120222100121 is 121001222021101.

It is not a de Polignac number, because 101120222100121 - 2³ = 101120222100113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101120222100095 and 101120222100104.

It is not an unprimeable number, because it can be changed into a prime (101120222100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11446396 + ... + 18255421.

It is an arithmetic number, because the mean of its divisors is an integer number (3863612485440).

Almost surely, 2^{101120222100121} is an apocalyptic number.

It is an amenable number.

101120222100121 is a deficient number, since it is larger than the sum of its proper divisors (22515377433959).

101120222100121 is a wasteful number, since it uses less digits than its factorization.

101120222100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29702425.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101120222100121 its reverse (121001222021101), we get a palindrome (222121444121222).

The spelling of 101120222100121 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-one".