101011101010100 has 18 divisors (see below), whose sum is σ = 219194089192134. Its totient is φ = 40404440404000.

The previous prime is 101011101010093. The next prime is 101011101010139. The reversal of 101011101010100 is 1010101110101.

It can be written as a sum of positive squares in 3 ways, for example, as 25164489682084 + 75846611328016 = 5016422^2 + 8708996^2 .

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, 505055504951 + ... + 505055505150.

It is an arithmetic number, because the mean of its divisors is an integer number (12177449399563).

Almost surely, 2^{101011101010100} is an apocalyptic number.

101011101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011101010100 is an abundant number, since it is smaller than the sum of its proper divisors (118182988182034).

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

101011101010100 is a wasteful number, since it uses less digits than its factorization.

101011101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010111010115 (or 1010111010108 counting only the distinct ones).

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

Adding to 101011101010100 its reverse (1010101110101), we get a palindrome (102021202120201).

The spelling of 101011101010100 in words is "one hundred one trillion, eleven billion, one hundred one million, ten thousand, one hundred".