100212210011001 has 16 divisors (see below), whose sum is σ = 145763665744320. Its totient is φ = 60734484741120.

The previous prime is 100212210010993. The next prime is 100212210011047. The reversal of 100212210011001 is 100110012212001.

It is not a de Polignac number, because 100212210011001 - 2³ = 100212210010993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100212210061001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6522981 + ... + 15587613.

It is an arithmetic number, because the mean of its divisors is an integer number (9110229109020).

Almost surely, 2^{100212210011001} is an apocalyptic number.

100212210011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212210011001 is a deficient number, since it is larger than the sum of its proper divisors (45551455733319).

100212210011001 is a wasteful number, since it uses less digits than its factorization.

100212210011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9399656.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100212210011001 its reverse (100110012212001), we get a palindrome (200322222223002).

The spelling of 100212210011001 in words is "one hundred trillion, two hundred twelve billion, two hundred ten million, eleven thousand, one".