101010101110100 has 288 divisors, whose sum is σ = 275609401536000. Its totient is φ = 31929811200000.

The previous prime is 101010101109979. The next prime is 101010101110199. The reversal of 101010101110100 is 1011101010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373975100 + ... + 374245100.

Almost surely, 2^{101010101110100} is an apocalyptic number.

101010101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010101110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137804700768000).

101010101110100 is an abundant number, since it is smaller than the sum of its proper divisors (174599300425900).

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

101010101110100 is a wasteful number, since it uses less digits than its factorization.

101010101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270888 (or 270867 counting only the distinct ones).

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

Adding to 101010101110100 its reverse (1011101010101), we get a palindrome (102021202120201).

Subtracting from 101010101110100 its reverse (1011101010101), we obtain a palindrome (99999000099999).

The spelling of 101010101110100 in words is "one hundred one trillion, ten billion, one hundred one million, one hundred ten thousand, one hundred".