100210100100111 has 20 divisors (see below), whose sum is σ = 149698771893000. Its totient is φ = 66805750418256.

The previous prime is 100210100100017. The next prime is 100210100100167. The reversal of 100210100100111 is 111001001012001.

It is not a de Polignac number, because 100210100100111 - 2²⁶ = 100210032991247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100210100100093 and 100210100100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210100100181) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3541836 + ... + 14593313.

It is an arithmetic number, because the mean of its divisors is an integer number (7484938594650).

Almost surely, 2^{100210100100111} is an apocalyptic number.

100210100100111 is a deficient number, since it is larger than the sum of its proper divisors (49488671792889).

100210100100111 is an equidigital number, since it uses as much as digits as its factorization.

100210100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18203380 (or 18203371 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100210100100111 its reverse (111001001012001), we get a palindrome (211211101112112).

The spelling of 100210100100111 in words is "one hundred trillion, two hundred ten billion, one hundred million, one hundred thousand, one hundred eleven".