100102001101100 has 18 divisors (see below), whose sum is σ = 217221342389604. Its totient is φ = 40040800440400.

The previous prime is 100102001101049. The next prime is 100102001101187. The reversal of 100102001101100 is 1101100201001.

It is a happy number.

It is a super-2 number, since 2×100102001101100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500510005406 + ... + 500510005605.

It is an arithmetic number, because the mean of its divisors is an integer number (12067852354978).

Almost surely, 2^{100102001101100} is an apocalyptic number.

100102001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102001101100 is an abundant number, since it is smaller than the sum of its proper divisors (117119341288504).

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

100102001101100 is a wasteful number, since it uses less digits than its factorization.

100102001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001020011025 (or 1001020011018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100102001101100 its reverse (1101100201001), we get a palindrome (101203101302101).

Subtracting from 100102001101100 its reverse (1101100201001), we obtain a palindrome (99000900900099).

The spelling of 100102001101100 in words is "one hundred trillion, one hundred two billion, one million, one hundred one thousand, one hundred".