10120220010121 has 32 divisors (see below), whose sum is σ = 11216595253248. Its totient is φ = 9070324116480.

The previous prime is 10120220010077. The next prime is 10120220010127. The reversal of 10120220010121 is 12101002202101.

It is not a de Polignac number, because 10120220010121 - 2⁹ = 10120220009609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120220010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932991720 + ... + 933002566.

It is an arithmetic number, because the mean of its divisors is an integer number (350518601664).

Almost surely, 2^{10120220010121} is an apocalyptic number.

It is an amenable number.

10120220010121 is a deficient number, since it is larger than the sum of its proper divisors (1096375243127).

10120220010121 is a wasteful number, since it uses less digits than its factorization.

10120220010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14761.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120220010121 its reverse (12101002202101), we get a palindrome (22221222212222).

The spelling of 10120220010121 in words is "ten trillion, one hundred twenty billion, two hundred twenty million, ten thousand, one hundred twenty-one".