100100101101102 has 72 divisors (see below), whose sum is σ = 219161989314216. Its totient is φ = 33019779423744.

The previous prime is 100100101101053. The next prime is 100100101101109. The reversal of 100100101101102 is 201101101001001.

It is a super-2 number, since 2×100100101101102² (a number of 29 digits) contains 22 as substring.

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 (100100101101109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2766171453 + ... + 2766207639.

It is an arithmetic number, because the mean of its divisors is an integer number (3043916518253).

Almost surely, 2^{100100101101102} is an apocalyptic number.

100100101101102 is an abundant number, since it is smaller than the sum of its proper divisors (119061888213114).

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

100100101101102 is a wasteful number, since it uses less digits than its factorization.

100100101101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52722 (or 52622 counting only the distinct ones).

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

Adding to 100100101101102 its reverse (201101101001001), we get a palindrome (301201202102103).

The spelling of 100100101101102 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred two".