10021013223120 has 60 divisors (see below), whose sum is σ = 33653902743396. Its totient is φ = 2672270192640.

The previous prime is 10021013223097. The next prime is 10021013223157. The reversal of 10021013223120 is 2132231012001.

10021013223120 is a `hidden beast` number, since 10 + 0 + 21 + 0 + 1 + 322 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6885648898704 + 3135364324416 = 2624052^2 + 1770696^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10021013223093 and 10021013223102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6959036241 + ... + 6959037680.

Almost surely, 2^{10021013223120} is an apocalyptic number.

10021013223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021013223120 is an abundant number, since it is smaller than the sum of its proper divisors (23632889520276).

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

10021013223120 is a wasteful number, since it uses less digits than its factorization.

10021013223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13918073940 (or 13918073931 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10021013223120 its reverse (2132231012001), we get a palindrome (12153244235121).

The spelling of 10021013223120 in words is "ten trillion, twenty-one billion, thirteen million, two hundred twenty-three thousand, one hundred twenty".