100010100111102 has 48 divisors (see below), whose sum is σ = 219446145526608. Its totient is φ = 32912992667520.

The previous prime is 100010100111029. The next prime is 100010100111109. The reversal of 100010100111102 is 201111001010001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100111109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20187799 + ... + 24648882.

It is an arithmetic number, because the mean of its divisors is an integer number (4571794698471).

Almost surely, 2^{100010100111102} is an apocalyptic number.

100010100111102 is an abundant number, since it is smaller than the sum of its proper divisors (119436045415506).

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

100010100111102 is a wasteful number, since it uses less digits than its factorization.

100010100111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44838265 (or 44838262 counting only the distinct ones).

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

Adding to 100010100111102 its reverse (201111001010001), we get a palindrome (301121101121103).

The spelling of 100010100111102 in words is "one hundred trillion, ten billion, one hundred million, one hundred eleven thousand, one hundred two".