100110102010201 has 16 divisors (see below), whose sum is σ = 105521343121600. Its totient is φ = 94713097082688.

The previous prime is 100110102010157. The next prime is 100110102010211. The reversal of 100110102010201 is 102010201011001.

It is a cyclic number.

It is not a de Polignac number, because 100110102010201 - 2¹⁷ = 100110101879129 is a prime.

It is a super-2 number, since 2×100110102010201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110102010211) 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, 626630590 + ... + 626790328.

It is an arithmetic number, because the mean of its divisors is an integer number (6595083945100).

Almost surely, 2^{100110102010201} is an apocalyptic number.

It is an amenable number.

100110102010201 is a deficient number, since it is larger than the sum of its proper divisors (5411241111399).

100110102010201 is a wasteful number, since it uses less digits than its factorization.

100110102010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204088.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110102010201 its reverse (102010201011001), we get a palindrome (202120303021202).

The spelling of 100110102010201 in words is "one hundred trillion, one hundred ten billion, one hundred two million, ten thousand, two hundred one".