10200031002100 has 18 divisors (see below), whose sum is σ = 22134067274774. Its totient is φ = 4080012400800.

The previous prime is 10200031002041. The next prime is 10200031002103. The reversal of 10200031002100 is 120013000201.

It can be written as a sum of positive squares in 3 ways, for example, as 3263276054116 + 6936754947984 = 1806454^2 + 2633772^2 .

It is a super-2 number, since 2×10200031002100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200031002103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51000154911 + ... + 51000155110.

Almost surely, 2^{10200031002100} is an apocalyptic number.

10200031002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200031002100 is an abundant number, since it is smaller than the sum of its proper divisors (11934036272674).

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

10200031002100 is a wasteful number, since it uses less digits than its factorization.

10200031002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102000310035 (or 102000310028 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10200031002100 its reverse (120013000201), we get a palindrome (10320044002301).

The spelling of 10200031002100 in words is "ten trillion, two hundred billion, thirty-one million, two thousand, one hundred".