100212021122000 has 40 divisors (see below), whose sum is σ = 242312667077832. Its totient is φ = 40084808448000.

The previous prime is 100212021121969. The next prime is 100212021122023. The reversal of 100212021122000 is 221120212001.

It can be written as a sum of positive squares in 4 ways, for example, as 22566528179776 + 77645492942224 = 4750424^2 + 8811668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25053003281 + ... + 25053007280.

Almost surely, 2^{100212021122000} is an apocalyptic number.

100212021122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212021122000 is an abundant number, since it is smaller than the sum of its proper divisors (142100645955832).

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

100212021122000 is an equidigital number, since it uses as much as digits as its factorization.

100212021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50106010584 (or 50106010568 counting only the distinct ones).

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

Adding to 100212021122000 its reverse (221120212001), we get a palindrome (100433141334001).

Subtracting from 100212021122000 its reverse (221120212001), we obtain a palindrome (99990900909999).

The spelling of 100212021122000 in words is "one hundred trillion, two hundred twelve billion, twenty-one million, one hundred twenty-two thousand".