100020001212100 has 18 divisors (see below), whose sum is σ = 217043402630474. Its totient is φ = 40008000484800.

The previous prime is 100020001212067. The next prime is 100020001212127. The reversal of 100020001212100 is 1212100020001.

It can be written as a sum of positive squares in 3 ways, for example, as 4431328125184 + 95588673086916 = 2105072^2 + 9776946^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500100005961 + ... + 500100006160.

Almost surely, 2^{100020001212100} is an apocalyptic number.

100020001212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020001212100 is an abundant number, since it is smaller than the sum of its proper divisors (117023401418374).

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

100020001212100 is a wasteful number, since it uses less digits than its factorization.

100020001212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000200012135 (or 1000200012128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100020001212100 its reverse (1212100020001), we get a palindrome (101232101232101).

The spelling of 100020001212100 in words is "one hundred trillion, twenty billion, one million, two hundred twelve thousand, one hundred".