10120121001220 has 24 divisors (see below), whose sum is σ = 21254569296408. Its totient is φ = 4047607411200.

The previous prime is 10120121001209. The next prime is 10120121001233. The reversal of 10120121001220 is 2210012102101.

It can be written as a sum of positive squares in 4 ways, for example, as 4765043678404 + 5355077322816 = 2182898^2 + 2314104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10120121001220.

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, 27373621 + ... + 27740860.

It is an arithmetic number, because the mean of its divisors is an integer number (885607054017).

Almost surely, 2^{10120121001220} is an apocalyptic number.

10120121001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120121001220 is an abundant number, since it is smaller than the sum of its proper divisors (11134448295188).

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

10120121001220 is a wasteful number, since it uses less digits than its factorization.

10120121001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55123671 (or 55123669 counting only the distinct ones).

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

Adding to 10120121001220 its reverse (2210012102101), we get a palindrome (12330133103321).

The spelling of 10120121001220 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one million, one thousand, two hundred twenty".