100121210101001 has 16 divisors (see below), whose sum is σ = 106285866086400. Its totient is φ = 94162633986960.

The previous prime is 100121210100997. The next prime is 100121210101007. The reversal of 100121210101001 is 100101012121001.

It is not a de Polignac number, because 100121210101001 - 2² = 100121210100997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121210101007) 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, 188452535 + ... + 188983068.

It is an arithmetic number, because the mean of its divisors is an integer number (6642866630400).

Almost surely, 2^{100121210101001} is an apocalyptic number.

It is an amenable number.

100121210101001 is a deficient number, since it is larger than the sum of its proper divisors (6164655985399).

100121210101001 is a wasteful number, since it uses less digits than its factorization.

100121210101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377435876.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100121210101001 its reverse (100101012121001), we get a palindrome (200222222222002).

The spelling of 100121210101001 in words is "one hundred trillion, one hundred twenty-one billion, two hundred ten million, one hundred one thousand, one".