101011110100 has 54 divisors (see below), whose sum is σ = 219853816910. Its totient is φ = 40283202240.

The previous prime is 101011110097. The next prime is 101011110121. The reversal of 101011110100 is 1011110101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19652675344 + 81358434756 = 140188^2 + 285234^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12036706 + ... + 12045094.

Almost surely, 2^101011110100 is an apocalyptic number.

101011110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011110100 is an abundant number, since it is smaller than the sum of its proper divisors (118842706810).

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

101011110100 is an equidigital number, since it uses as much as digits as its factorization.

101011110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 8743 counting only the distinct ones).

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

Adding to 101011110100 its reverse (1011110101), we get a palindrome (102022220201).

Subtracting from 101011110100 its reverse (1011110101), we obtain a palindrome (99999999999).

The spelling of 101011110100 in words is "one hundred one billion, eleven million, one hundred ten thousand, one hundred".