100110010200111 has 48 divisors (see below), whose sum is σ = 152425895113440. Its totient is φ = 63139425730560.

The previous prime is 100110010200071. The next prime is 100110010200113. The reversal of 100110010200111 is 111002010011001.

It is not a de Polignac number, because 100110010200111 - 2¹⁸ = 100110009937967 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 = 100110010200093 and 100110010200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110010200113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459826621 + ... + 460044281.

It is an arithmetic number, because the mean of its divisors is an integer number (3175539481530).

Almost surely, 2^{100110010200111} is an apocalyptic number.

100110010200111 is a deficient number, since it is larger than the sum of its proper divisors (52315884913329).

100110010200111 is a wasteful number, since it uses less digits than its factorization.

100110010200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221416 (or 221413 counting only the distinct ones).

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

Adding to 100110010200111 its reverse (111002010011001), we get a palindrome (211112020211112).

The spelling of 100110010200111 in words is "one hundred trillion, one hundred ten billion, ten million, two hundred thousand, one hundred eleven".