100010202000 has 320 divisors, whose sum is σ = 326417465088. Its totient is φ = 26342400000.

The previous prime is 100010201999. The next prime is 100010202043. The reversal of 100010202000 is 202010001.

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 self number, because there is not a number n which added to its sum of digits gives 100010202000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249401800 + ... + 249402200.

Almost surely, 2^100010202000 is an apocalyptic number.

100010202000 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 100010202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163208732544).

100010202000 is an abundant number, since it is smaller than the sum of its proper divisors (226407263088).

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

100010202000 is a wasteful number, since it uses less digits than its factorization.

100010202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 819 counting only the distinct ones).

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

Adding to 100010202000 its reverse (202010001), we get a palindrome (100212212001).

The spelling of 100010202000 in words is "one hundred billion, ten million, two hundred two thousand".