100020212212100 has 36 divisors (see below), whose sum is σ = 224528131558500. Its totient is φ = 38628495749760.

The previous prime is 100020212212079. The next prime is 100020212212103. The reversal of 100020212212100 is 1212212020001.

It can be written as a sum of positive squares in 6 ways, for example, as 3822877427524 + 96197334784576 = 1955218^2 + 9808024^2 .

It is not an unprimeable number, because it can be changed into a prime (100020212212103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17244861275 + ... + 17244867074.

Almost surely, 2^{100020212212100} is an apocalyptic number.

100020212212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020212212100 is an abundant number, since it is smaller than the sum of its proper divisors (124507919346400).

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

100020212212100 is a wasteful number, since it uses less digits than its factorization.

100020212212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34489728392 (or 34489728385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100020212212100 its reverse (1212212020001), we get a palindrome (101232424232101).

The spelling of 100020212212100 in words is "one hundred trillion, twenty billion, two hundred twelve million, two hundred twelve thousand, one hundred".