10020120009975 has 192 divisors, whose sum is σ = 19025867266560. Its totient is φ = 5166944640000.

The previous prime is 10020120009953. The next prime is 10020120009979. The reversal of 10020120009975 is 57990002102001.

It is not a de Polignac number, because 10020120009975 - 2⁵ = 10020120009943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020120009979) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3701557572 + ... + 3701560278.

It is an arithmetic number, because the mean of its divisors is an integer number (99093058680).

Almost surely, 2^{10020120009975} is an apocalyptic number.

10020120009975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10020120009975 is a deficient number, since it is larger than the sum of its proper divisors (9005747256585).

10020120009975 is a wasteful number, since it uses less digits than its factorization.

10020120009975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10020120009975 in words is "ten trillion, twenty billion, one hundred twenty million, nine thousand, nine hundred seventy-five".