100212022010000 has 50 divisors (see below), whose sum is σ = 242623326512622. Its totient is φ = 40084808800000.

The previous prime is 100212022009997. The next prime is 100212022010017. The reversal of 100212022010000 is 10220212001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 8503359266704 + 91708662743296 = 2916052^2 + 9576464^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5010591101 + ... + 5010611100.

Almost surely, 2^{100212022010000} is an apocalyptic number.

100212022010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212022010000 is an abundant number, since it is smaller than the sum of its proper divisors (142411304502622).

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

100212022010000 is an equidigital number, since it uses as much as digits as its factorization.

100212022010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10021202229 (or 10021202208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100212022010000 its reverse (10220212001), we get a palindrome (100222242222001).

The spelling of 100212022010000 in words is "one hundred trillion, two hundred twelve billion, twenty-two million, ten thousand".