100101020000 has 120 divisors (see below), whose sum is σ = 247023858312. Its totient is φ = 39916800000.

The previous prime is 100101019979. The next prime is 100101020021. The reversal of 100101020000 is 20101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100101019979) and next prime (100101020021).

It is a Harshad number since it is a multiple of its sum of digits (5).

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 19 ways as a sum of consecutive naturals, for example, 6612440 + ... + 6627560.

Almost surely, 2^100101020000 is an apocalyptic number.

100101020000 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 100101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123511929156).

100101020000 is an abundant number, since it is smaller than the sum of its proper divisors (146922838312).

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

100101020000 is an equidigital number, since it uses as much as digits as its factorization.

100101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15482 (or 15459 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100101020000 its reverse (20101001), we get a palindrome (100121121001).

The spelling of 100101020000 in words is "one hundred billion, one hundred one million, twenty thousand".