100210220110111 has 16 divisors (see below), whose sum is σ = 100655735296000. Its totient is φ = 99765803602080.

The previous prime is 100210220110093. The next prime is 100210220110151. The reversal of 100210220110111 is 111011022012001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100210220110111 - 2⁵ = 100210220110079 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210220110091 and 100210220110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210220110151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862403026 + ... + 862519216.

It is an arithmetic number, because the mean of its divisors is an integer number (6290983456000).

Almost surely, 2^{100210220110111} is an apocalyptic number.

100210220110111 is a deficient number, since it is larger than the sum of its proper divisors (445515185889).

100210220110111 is a wasteful number, since it uses less digits than its factorization.

100210220110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120886.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100210220110111 its reverse (111011022012001), we get a palindrome (211221242122112).

The spelling of 100210220110111 in words is "one hundred trillion, two hundred ten billion, two hundred twenty million, one hundred ten thousand, one hundred eleven".