10102010000202 has 112 divisors (see below), whose sum is σ = 23111556176160. Its totient is φ = 3309209186400.

The previous prime is 10102010000177. The next prime is 10102010000233. The reversal of 10102010000202 is 20200001020101.

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 55 ways as a sum of consecutive naturals, for example, 297705177 + ... + 297739107.

Almost surely, 2^{10102010000202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102010000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11555778088080).

10102010000202 is an abundant number, since it is smaller than the sum of its proper divisors (13009546175958).

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

10102010000202 is an equidigital number, since it uses as much as digits as its factorization.

10102010000202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37471 (or 37456 counting only the distinct ones).

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

Adding to 10102010000202 its reverse (20200001020101), we get a palindrome (30302011020303).

The spelling of 10102010000202 in words is "ten trillion, one hundred two billion, ten million, two hundred two", and thus it is an aban number.