100110102202111 has 64 divisors (see below), whose sum is σ = 105768776171520. Its totient is φ = 94655709388800.

The previous prime is 100110102202031. The next prime is 100110102202133. The reversal of 100110102202111 is 111202201011001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100110102202111 - 2¹³ = 100110102193919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110102202091 and 100110102202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110102202171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95252237536 + ... + 95252238586.

It is an arithmetic number, because the mean of its divisors is an integer number (1652637127680).

Almost surely, 2^{100110102202111} is an apocalyptic number.

100110102202111 is a deficient number, since it is larger than the sum of its proper divisors (5658673969409).

100110102202111 is a wasteful number, since it uses less digits than its factorization.

100110102202111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444.

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

Adding to 100110102202111 its reverse (111202201011001), we get a palindrome (211312303213112).

The spelling of 100110102202111 in words is "one hundred trillion, one hundred ten billion, one hundred two million, two hundred two thousand, one hundred eleven".