100212110000001 has 48 divisors (see below), whose sum is σ = 148632987759360. Its totient is φ = 65040468030720.

The previous prime is 100212109999931. The next prime is 100212110000027. The reversal of 100212110000001 is 100000011212001.

It is a happy number.

It is not a de Polignac number, because 100212110000001 - 2²⁶ = 100212042891137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100212110000501) 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, 185075275 + ... + 185615951.

It is an arithmetic number, because the mean of its divisors is an integer number (3096520578320).

Almost surely, 2^{100212110000001} is an apocalyptic number.

It is an amenable number.

100212110000001 is a deficient number, since it is larger than the sum of its proper divisors (48420877759359).

100212110000001 is a wasteful number, since it uses less digits than its factorization.

100212110000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544406 (or 544403 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100212110000001 its reverse (100000011212001), we get a palindrome (200212121212002).

The spelling of 100212110000001 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, one", and thus it is an aban number.