10011101110100 has 18 divisors (see below), whose sum is σ = 21724089409134. Its totient is φ = 4004440444000.

The previous prime is 10011101110067. The next prime is 10011101110163. The reversal of 10011101110100 is 101110111001.

It can be written as a sum of positive squares in 3 ways, for example, as 1624956968644 + 8386144141456 = 1274738^2 + 2895884^2 .

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, 50055505451 + ... + 50055505650.

It is an arithmetic number, because the mean of its divisors is an integer number (1206893856063).

Almost surely, 2^{10011101110100} is an apocalyptic number.

10011101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011101110100 is an abundant number, since it is smaller than the sum of its proper divisors (11712988299034).

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

10011101110100 is a wasteful number, since it uses less digits than its factorization.

10011101110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111011115 (or 100111011108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10011101110100 its reverse (101110111001), we get a palindrome (10112211221101).

Subtracting from 10011101110100 its reverse (101110111001), we obtain a palindrome (9909990999099).

The spelling of 10011101110100 in words is "ten trillion, eleven billion, one hundred one million, one hundred ten thousand, one hundred".