102256720200 has 144 divisors (see below), whose sum is σ = 355254131700. Its totient is φ = 26328153600.

The previous prime is 102256720199. The next prime is 102256720201. The reversal of 102256720200 is 2027652201.

It is an interprime number because it is at equal distance from previous prime (102256720199) and next prime (102256720201).

It can be written as a sum of positive squares in 6 ways, for example, as 15456954276 + 86799765924 = 124326^2 + 294618^2 .

It is a super-2 number, since 2×102256720200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102256720201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 927271 + ... + 1031670.

Almost surely, 2^102256720200 is an apocalyptic number.

102256720200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102256720200 is an abundant number, since it is smaller than the sum of its proper divisors (252997411500).

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

102256720200 is a wasteful number, since it uses less digits than its factorization.

102256720200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958992 (or 1958980 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 102256720200 in words is "one hundred two billion, two hundred fifty-six million, seven hundred twenty thousand, two hundred".