100100101100010 has 96 divisors (see below), whose sum is σ = 264307771780416. Its totient is φ = 24244447603200.

The previous prime is 100100101100003. The next prime is 100100101100017. The reversal of 100100101100010 is 10001101001001.

It is an interprime number because it is at equal distance from previous prime (100100101100003) and next prime (100100101100017).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (100100101100017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8677519 + ... + 16598178.

It is an arithmetic number, because the mean of its divisors is an integer number (2753205956046).

Almost surely, 2^{100100101100010} is an apocalyptic number.

100100101100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100101100010 is an abundant number, since it is smaller than the sum of its proper divisors (164207670680406).

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

100100101100010 is a wasteful number, since it uses less digits than its factorization.

100100101100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25276820 (or 25276809 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100101100010 its reverse (10001101001001), we get a palindrome (110101202101011).

Subtracting from 100100101100010 its reverse (10001101001001), we obtain a palindrome (90099000099009).

The spelling of 100100101100010 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred thousand, ten".