101010111011100 has 216 divisors, whose sum is σ = 325194583575680. Its totient is φ = 26205855920640.

The previous prime is 101010111011083. The next prime is 101010111011141. The reversal of 101010111011100 is 1110111010101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422890506 + ... + 423129294.

Almost surely, 2^{101010111011100} is an apocalyptic number.

101010111011100 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 101010111011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162597291787840).

101010111011100 is an abundant number, since it is smaller than the sum of its proper divisors (224184472564580).

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

101010111011100 is a wasteful number, since it uses less digits than its factorization.

101010111011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251549 (or 251539 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101010111011100 its reverse (1110111010101), we get a palindrome (102120222021201).

Subtracting from 101010111011100 its reverse (1110111010101), we obtain a palindrome (99900000000999).

The spelling of 101010111011100 in words is "one hundred one trillion, ten billion, one hundred eleven million, eleven thousand, one hundred".