100101011010100 has 72 divisors (see below), whose sum is σ = 230336525565720. Its totient is φ = 37629421240320.

The previous prime is 100101011010079. The next prime is 100101011010107. The reversal of 100101011010100 is 1010110101001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 961113572496 + 99139897437604 = 980364^2 + 9956902^2 .

It is a super-2 number, since 2×100101011010100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101011010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42337245 + ... + 44639044.

It is an arithmetic number, because the mean of its divisors is an integer number (3199118410635).

Almost surely, 2^{100101011010100} is an apocalyptic number.

100101011010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101011010100 is an abundant number, since it is smaller than the sum of its proper divisors (130235514555620).

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

100101011010100 is a wasteful number, since it uses less digits than its factorization.

100101011010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86976997 (or 86976990 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101011010100 its reverse (1010110101001), we get a palindrome (101111121111101).

Subtracting from 100101011010100 its reverse (1010110101001), we obtain a palindrome (99090900909099).

The spelling of 100101011010100 in words is "one hundred trillion, one hundred one billion, eleven million, ten thousand, one hundred".