10120121010220 has 96 divisors (see below), whose sum is σ = 23553495556416. Its totient is φ = 3628262937600.

The previous prime is 10120121010217. The next prime is 10120121010269. The reversal of 10120121010220 is 2201012102101.

It is a super-2 number, since 2×10120121010220² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10120121010220.

It is an unprimeable number.

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, 3652150 + ... + 5794690.

It is an arithmetic number, because the mean of its divisors is an integer number (245348912046).

Almost surely, 2^{10120121010220} is an apocalyptic number.

10120121010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120121010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11776747778208).

10120121010220 is an abundant number, since it is smaller than the sum of its proper divisors (13433374546196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10120121010220 is a wasteful number, since it uses less digits than its factorization.

10120121010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143091 (or 2143089 counting only the distinct ones).

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

Adding to 10120121010220 its reverse (2201012102101), we get a palindrome (12321133112321).

The spelling of 10120121010220 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one million, ten thousand, two hundred twenty".