10100110110100 has 18 divisors (see below), whose sum is σ = 21917238939134. Its totient is φ = 4040044044000.

The previous prime is 10100110110037. The next prime is 10100110110119. The reversal of 10100110110100 is 101101100101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30188367504 + 10069921742596 = 173748^2 + 3173314^2 .

It is a super-2 number, since 2×10100110110100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 50500550451 + ... + 50500550650.

Almost surely, 2^{10100110110100} is an apocalyptic number.

10100110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100110110100 is an abundant number, since it is smaller than the sum of its proper divisors (11817128829034).

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

10100110110100 is a wasteful number, since it uses less digits than its factorization.

10100110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001101115 (or 101001101108 counting only the distinct ones).

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

Adding to 10100110110100 its reverse (101101100101), we get a palindrome (10201211210201).

Subtracting from 10100110110100 its reverse (101101100101), we obtain a palindrome (9999009009999).

The spelling of 10100110110100 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred ten thousand, one hundred".