100110110101002 has 48 divisors (see below), whose sum is σ = 217808137472640. Its totient is φ = 33231132835200.

The previous prime is 100110110100967. The next prime is 100110110101033. The reversal of 100110110101002 is 200101011011001.

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

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, 606972927 + ... + 607137837.

It is an arithmetic number, because the mean of its divisors is an integer number (4537669530680).

Almost surely, 2^{100110110101002} is an apocalyptic number.

100110110101002 is an abundant number, since it is smaller than the sum of its proper divisors (117698027371638).

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

100110110101002 is a wasteful number, since it uses less digits than its factorization.

100110110101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305099 (or 305096 counting only the distinct ones).

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

Adding to 100110110101002 its reverse (200101011011001), we get a palindrome (300211121112003).

Subtracting 100110110101002 from its reverse (200101011011001), we obtain a palindrome (99990900909999).

The spelling of 100110110101002 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, two".