10200001210120 has 32 divisors (see below), whose sum is σ = 23509758890520. Its totient is φ = 3980488276480.

The previous prime is 10200001210099. The next prime is 10200001210123. The reversal of 10200001210120 is 2101210000201.

It can be written as a sum of positive squares in 4 ways, for example, as 1830008317284 + 8369992892836 = 1352778^2 + 2893094^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10200001210097 and 10200001210106.

It is not an unprimeable number, because it can be changed into a prime (10200001210123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3109754827 + ... + 3109758106.

Almost surely, 2^{10200001210120} is an apocalyptic number.

10200001210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200001210120 is an abundant number, since it is smaller than the sum of its proper divisors (13309757680400).

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

10200001210120 is a wasteful number, since it uses less digits than its factorization.

10200001210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219512985 (or 6219512981 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10200001210120 its reverse (2101210000201), we get a palindrome (12301211210321).

The spelling of 10200001210120 in words is "ten trillion, two hundred billion, one million, two hundred ten thousand, one hundred twenty".