10201012020120 has 128 divisors (see below), whose sum is σ = 32263982208000. Its totient is φ = 2573076971520.

The previous prime is 10201012020107. The next prime is 10201012020163. The reversal of 10201012020120 is 2102021010201.

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 = 10201012020096 and 10201012020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028480 + ... + 4951439.

It is an arithmetic number, because the mean of its divisors is an integer number (252062361000).

Almost surely, 2^{10201012020120} is an apocalyptic number.

10201012020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201012020120 is an abundant number, since it is smaller than the sum of its proper divisors (22062970187880).

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

10201012020120 is a wasteful number, since it uses less digits than its factorization.

10201012020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980593 (or 6980589 counting only the distinct ones).

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

Adding to 10201012020120 its reverse (2102021010201), we get a palindrome (12303033030321).

The spelling of 10201012020120 in words is "ten trillion, two hundred one billion, twelve million, twenty thousand, one hundred twenty".