10205700120 has 192 divisors, whose sum is σ = 41353079040. Its totient is φ = 2120659200.

The previous prime is 10205700107. The next prime is 10205700157. The reversal of 10205700120 is 2100750201.

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 = 10205700093 and 10205700102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156366 + ... + 211805.

It is an arithmetic number, because the mean of its divisors is an integer number (215380620).

Almost surely, 2^10205700120 is an apocalyptic number.

10205700120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205700120 is an abundant number, since it is smaller than the sum of its proper divisors (31147378920).

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

10205700120 is a wasteful number, since it uses less digits than its factorization.

10205700120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368206 (or 368199 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The spelling of 10205700120 in words is "ten billion, two hundred five million, seven hundred thousand, one hundred twenty".