10202100000000 has 648 divisors, whose sum is σ = 35067357045504. Its totient is φ = 2630400000000.

The previous prime is 10202099999929. The next prime is 10202100000011. The reversal of 10202100000000 is 120201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9299999452 + ... + 9300000548.

Almost surely, 2^{10202100000000} is an apocalyptic number.

10202100000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17533678522752).

10202100000000 is an abundant number, since it is smaller than the sum of its proper divisors (24865257045504).

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

10202100000000 is an frugal number, since it uses more digits than its factorization.

10202100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10202100000000 its reverse (120201), we get a palindrome (10202100120201).

The spelling of 10202100000000 in words is "ten trillion, two hundred two billion, one hundred million", and thus it is an aban number.