10020012021120 has 128 divisors (see below), whose sum is σ = 32237282327040. Its totient is φ = 2647031158784.

The previous prime is 10020012021101. The next prime is 10020012021137. The reversal of 10020012021120 is 2112021002001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10020012021096 and 10020012021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24181272 + ... + 24592151.

It is an arithmetic number, because the mean of its divisors is an integer number (251853768180).

Almost surely, 2^{10020012021120} is an apocalyptic number.

10020012021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020012021120 is an abundant number, since it is smaller than the sum of its proper divisors (22217270305920).

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

10020012021120 is a wasteful number, since it uses less digits than its factorization.

10020012021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48773552 (or 48773540 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020012021120 its reverse (2112021002001), we get a palindrome (12132033023121).

The spelling of 10020012021120 in words is "ten trillion, twenty billion, twelve million, twenty-one thousand, one hundred twenty".