101001100111110 has 48 divisors (see below), whose sum is σ = 263137693113360. Its totient is φ = 26878772047680.

The previous prime is 101001100111069. The next prime is 101001100111133. The reversal of 101001100111110 is 11111001100101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101001100111092 and 101001100111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142760745 + ... + 1142849124.

It is an arithmetic number, because the mean of its divisors is an integer number (5482035273195).

Almost surely, 2^{101001100111110} is an apocalyptic number.

101001100111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001100111110 is an abundant number, since it is smaller than the sum of its proper divisors (162136593002250).

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

101001100111110 is a wasteful number, since it uses less digits than its factorization.

101001100111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285610373 (or 2285610370 counting only the distinct ones).

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

Adding to 101001100111110 its reverse (11111001100101), we get a palindrome (112112101211211).

The spelling of 101001100111110 in words is "one hundred one trillion, one billion, one hundred million, one hundred eleven thousand, one hundred ten".