100121012211201 has 16 divisors (see below), whose sum is σ = 133514680603584. Its totient is φ = 66737343282624.

The previous prime is 100121012211193. The next prime is 100121012211223. The reversal of 100121012211201 is 102112210121001.

It is a happy number.

It is not a de Polignac number, because 100121012211201 - 2³ = 100121012211193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100121012211901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837373515 + ... + 837493071.

It is an arithmetic number, because the mean of its divisors is an integer number (8344667537724).

Almost surely, 2^{100121012211201} is an apocalyptic number.

It is an amenable number.

100121012211201 is a deficient number, since it is larger than the sum of its proper divisors (33393668392383).

100121012211201 is a wasteful number, since it uses less digits than its factorization.

100121012211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159040.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100121012211201 its reverse (102112210121001), we get a palindrome (202233222332202).

The spelling of 100121012211201 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, two hundred eleven thousand, two hundred one".