10200155351200 has 72 divisors (see below), whose sum is σ = 24901579751580. Its totient is φ = 4079988326400.

The previous prime is 10200155351167. The next prime is 10200155351231. The reversal of 10200155351200 is 215355100201.

It can be written as a sum of positive squares in 6 ways, for example, as 4534974684304 + 5665180666896 = 2129548^2 + 2380164^2 .

It is a super-2 number, since 2×10200155351200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73403386 + ... + 73542214.

Almost surely, 2^{10200155351200} is an apocalyptic number.

10200155351200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200155351200 is an abundant number, since it is smaller than the sum of its proper divisors (14701424400380).

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

10200155351200 is a wasteful number, since it uses less digits than its factorization.

10200155351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230690 (or 230677 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 10200155351200 in words is "ten trillion, two hundred billion, one hundred fifty-five million, three hundred fifty-one thousand, two hundred".