10011101010100 has 18 divisors (see below), whose sum is σ = 21724089192134. Its totient is φ = 4004440404000.

The previous prime is 10011101010089. The next prime is 10011101010139. The reversal of 10011101010100 is 101010111001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 71381946276 + 9939719063824 = 267174^2 + 3152732^2 .

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, 50055504951 + ... + 50055505150.

Almost surely, 2^{10011101010100} is an apocalyptic number.

10011101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011101010100 is an abundant number, since it is smaller than the sum of its proper divisors (11712988182034).

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

10011101010100 is a wasteful number, since it uses less digits than its factorization.

10011101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111010115 (or 100111010108 counting only the distinct ones).

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

Adding to 10011101010100 its reverse (101010111001), we get a palindrome (10112111121101).

The spelling of 10011101010100 in words is "ten trillion, eleven billion, one hundred one million, ten thousand, one hundred".