10100120121220 has 24 divisors (see below), whose sum is σ = 21941640264600. Its totient is φ = 3900736046592.

The previous prime is 10100120121109. The next prime is 10100120121239. The reversal of 10100120121220 is 2212102100101.

10100120121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1235018806596 + 8865101314624 = 1111314^2 + 2977432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10100120121220.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8706999525 + ... + 8707000684.

It is an arithmetic number, because the mean of its divisors is an integer number (914235011025).

Almost surely, 2^{10100120121220} is an apocalyptic number.

10100120121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100120121220 is an abundant number, since it is smaller than the sum of its proper divisors (11841520143380).

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

10100120121220 is a wasteful number, since it uses less digits than its factorization.

10100120121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17414000247 (or 17414000245 counting only the distinct ones).

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

Adding to 10100120121220 its reverse (2212102100101), we get a palindrome (12312222221321).

The spelling of 10100120121220 in words is "ten trillion, one hundred billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".