100001210000 has 50 divisors (see below), whose sum is σ = 242112953742. Its totient is φ = 40000480000.

The previous prime is 100001209969. The next prime is 100001210003. The reversal of 100001210000 is 12100001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 40907489536 + 59093720464 = 202256^2 + 243092^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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

It is not an unprimeable number, because it can be changed into a prime (100001210003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4990061 + ... + 5010060.

Almost surely, 2^100001210000 is an apocalyptic number.

100001210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001210000 is an abundant number, since it is smaller than the sum of its proper divisors (142111743742).

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

100001210000 is an equidigital number, since it uses as much as digits as its factorization.

100001210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000149 (or 10000128 counting only the distinct ones).

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

Adding to 100001210000 its reverse (12100001), we get a palindrome (100013310001).

It can be divided in two parts, 10000 and 1210000, that multiplied together give a square (12100000000 = 110000²).

The spelling of 100001210000 in words is "one hundred billion, one million, two hundred ten thousand".