100020001000000 has 441 divisors, whose sum is σ = 253387853605677. Its totient is φ = 39171916800000.

The previous prime is 100020000999943. The next prime is 100020001000063. The reversal of 100020001000000 is 100020001.

The square root of 100020001000000 is 10001000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 31 ways, for example, as 24299930814016 + 75720070185984 = 4929496^2 + 8701728^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 730072999932 + ... + 730073000068.

Almost surely, 2^{100020001000000} is an apocalyptic number.

100020001000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020001000000 is the 10001000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020001000000

100020001000000 is an abundant number, since it is smaller than the sum of its proper divisors (153367852605677).

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

100020001000000 is an frugal number, since it uses more digits than its factorization.

100020001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 100020001000000 its reverse (100020001), we get a palindrome (100020101020001).

100020001000000 divided by its reverse (100020001) gives a 6-th power (1000000 = 10⁶).

The spelling of 100020001000000 in words is "one hundred trillion, twenty billion, one million", and thus it is an aban number.