100101001011102 has 48 divisors (see below), whose sum is σ = 266936002700640. Its totient is φ = 26400264002496.

The previous prime is 100101001011073. The next prime is 100101001011127. The reversal of 100101001011102 is 201110100101001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30555859477 + ... + 30555862752.

It is an arithmetic number, because the mean of its divisors is an integer number (5561166722930).

Almost surely, 2^{100101001011102} is an apocalyptic number.

100101001011102 is an abundant number, since it is smaller than the sum of its proper divisors (166835001689538).

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

100101001011102 is a wasteful number, since it uses less digits than its factorization.

100101001011102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61111722257 (or 61111722254 counting only the distinct ones).

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

Adding to 100101001011102 its reverse (201110100101001), we get a palindrome (301211101112103).

The spelling of 100101001011102 in words is "one hundred trillion, one hundred one billion, one million, eleven thousand, one hundred two".