100111012011090 has 80 divisors (see below), whose sum is σ = 270691228399680. Its totient is φ = 26547128658720.

The previous prime is 100111012011047. The next prime is 100111012011091. The reversal of 100111012011090 is 90110210111001.

100111012011090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100111012011091) 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 39 ways as a sum of consecutive naturals, for example, 345089206 + ... + 345379185.

It is an arithmetic number, because the mean of its divisors is an integer number (3383640354996).

Almost surely, 2^{100111012011090} is an apocalyptic number.

100111012011090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111012011090 is an abundant number, since it is smaller than the sum of its proper divisors (170580216388590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111012011090 is a wasteful number, since it uses less digits than its factorization.

100111012011090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690468589 (or 690468580 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 100111012011090 its reverse (90110210111001), we get a palindrome (190221222122091).

The spelling of 100111012011090 in words is "one hundred trillion, one hundred eleven billion, twelve million, eleven thousand, ninety".