102010120200 has 120 divisors (see below), whose sum is σ = 354296316330. Its totient is φ = 27202694400.

The previous prime is 102010120159. The next prime is 102010120207. The reversal of 102010120200 is 2021010201.

It can be written as a sum of positive squares in 3 ways, for example, as 91152063396 + 10858056804 = 301914^2 + 104202^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102010120207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3132261 + ... + 3164660.

Almost surely, 2^102010120200 is an apocalyptic number.

102010120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010120200 is an abundant number, since it is smaller than the sum of its proper divisors (252286196130).

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

102010120200 is a wasteful number, since it uses less digits than its factorization.

102010120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296949 (or 6296931 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102010120200 its reverse (2021010201), we get a palindrome (104031130401).

The spelling of 102010120200 in words is "one hundred two billion, ten million, one hundred twenty thousand, two hundred".