10120122121021 has 96 divisors (see below), whose sum is σ = 11845381459968. Its totient is φ = 8627731200000.

The previous prime is 10120122121001. The next prime is 10120122121051. The reversal of 10120122121021 is 12012122102101.

It is not a de Polignac number, because 10120122121021 - 2²¹ = 10120120023869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120122120986 and 10120122121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120122121001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3788887516 + ... + 3788890186.

It is an arithmetic number, because the mean of its divisors is an integer number (123389390208).

Almost surely, 2^{10120122121021} is an apocalyptic number.

10120122121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120122121021 is a deficient number, since it is larger than the sum of its proper divisors (1725259338947).

10120122121021 is a wasteful number, since it uses less digits than its factorization.

10120122121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3024 counting only the distinct ones).

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

Adding to 10120122121021 its reverse (12012122102101), we get a palindrome (22132244223122).

It can be divided in two parts, 101201 and 22121021, that added together give a palindrome (22222222).

The spelling of 10120122121021 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty-one".