100021310000 has 200 divisors, whose sum is σ = 246438539424. Its totient is φ = 39308800000.

The previous prime is 100021309951. The next prime is 100021310003. The reversal of 100021310000 is 13120001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×100021310000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100021310000.

It is not an unprimeable number, because it can be changed into a prime (100021310003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168669704 + ... + 168670296.

Almost surely, 2^100021310000 is an apocalyptic number.

100021310000 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 100021310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123219269712).

100021310000 is an abundant number, since it is smaller than the sum of its proper divisors (146417229424).

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

100021310000 is a wasteful number, since it uses less digits than its factorization.

100021310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100021310000 its reverse (13120001), we get a palindrome (100034430001).

The spelling of 100021310000 in words is "one hundred billion, twenty-one million, three hundred ten thousand".