100212121212001 has 4 divisors (see below), whose sum is σ = 100331563550400. Its totient is φ = 100092678873604.

The previous prime is 100212121211953. The next prime is 100212121212011.

100212121212001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100212121212001 - 2³¹ = 100209973728353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212121212011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59721167941 + ... + 59721169618.

It is an arithmetic number, because the mean of its divisors is an integer number (25082890887600).

Almost surely, 2^{100212121212001} is an apocalyptic number.

It is an amenable number.

100212121212001 is a deficient number, since it is larger than the sum of its proper divisors (119442338399).

100212121212001 is an equidigital number, since it uses as much as digits as its factorization.

100212121212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119442338398.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 100212121212001 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, one".