100212202212001 has 48 divisors (see below), whose sum is σ = 116093505112704. Its totient is φ = 86266572480000.

The previous prime is 100212202211999. The next prime is 100212202212019.

It is a happy number.

100212202212001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100212202212001 - 2¹ = 100212202211999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212202212601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2555305945 + ... + 2555345161.

It is an arithmetic number, because the mean of its divisors is an integer number (2418614689848).

Almost surely, 2^{100212202212001} is an apocalyptic number.

100212202212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212202212001 is a deficient number, since it is larger than the sum of its proper divisors (15881302900703).

100212202212001 is a wasteful number, since it uses less digits than its factorization.

100212202212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48454 (or 48443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 10021220 and 2212001, that added together give a palindrome (12233221).

The spelling of 100212202212001 in words is "one hundred trillion, two hundred twelve billion, two hundred two million, two hundred twelve thousand, one".