10002010020120 has 512 divisors, whose sum is σ = 34781985792000. Its totient is φ = 2553742909440.

The previous prime is 10002010020113. The next prime is 10002010020139. The reversal of 10002010020120 is 2102001020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4044483204 + ... + 4044485676.

It is an arithmetic number, because the mean of its divisors is an integer number (67933566000).

Almost surely, 2^{10002010020120} is an apocalyptic number.

10002010020120 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 10002010020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390992896000).

10002010020120 is an abundant number, since it is smaller than the sum of its proper divisors (24779975771880).

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

10002010020120 is a wasteful number, since it uses less digits than its factorization.

10002010020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002010020120 its reverse (2102001020001), we get a palindrome (12104011040121).

The spelling of 10002010020120 in words is "ten trillion, two billion, ten million, twenty thousand, one hundred twenty".