10020102100200 has 240 divisors, whose sum is σ = 36848435304780. Its totient is φ = 2514849085440.

The previous prime is 10020102100159. The next prime is 10020102100241. The reversal of 10020102100200 is 200120102001.

It is an interprime number because it is at equal distance from previous prime (10020102100159) and next prime (10020102100241).

It can be written as a sum of positive squares in 6 ways, for example, as 6558649292196 + 3461452808004 = 2560986^2 + 1860498^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17916507 + ... + 18467306.

Almost surely, 2^{10020102100200} is an apocalyptic number.

10020102100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020102100200 is an abundant number, since it is smaller than the sum of its proper divisors (26828333204580).

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

10020102100200 is a wasteful number, since it uses less digits than its factorization.

10020102100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36383858 (or 36383840 counting only the distinct ones).

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

Adding to 10020102100200 its reverse (200120102001), we get a palindrome (10220222202201).

The spelling of 10020102100200 in words is "ten trillion, twenty billion, one hundred two million, one hundred thousand, two hundred".