100110102211101 has 16 divisors (see below), whose sum is σ = 134794949541120. Its totient is φ = 66083481737280.

The previous prime is 100110102211087. The next prime is 100110102211123. The reversal of 100110102211101 is 101112201011001.

It is not a de Polignac number, because 100110102211101 - 2⁷ = 100110102210973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110102211181) 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, 102039285 + ... + 103015706.

It is an arithmetic number, because the mean of its divisors is an integer number (8424684346320).

Almost surely, 2^{100110102211101} is an apocalyptic number.

It is an amenable number.

100110102211101 is a deficient number, since it is larger than the sum of its proper divisors (34684847330019).

100110102211101 is a wasteful number, since it uses less digits than its factorization.

100110102211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205056596.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100110102211101 its reverse (101112201011001), we get a palindrome (201222303222102).

The spelling of 100110102211101 in words is "one hundred trillion, one hundred ten billion, one hundred two million, two hundred eleven thousand, one hundred one".