101110100110100 has 72 divisors (see below), whose sum is σ = 221598746460000. Its totient is φ = 40040448016000.

The previous prime is 101110100109971. The next prime is 101110100110111. The reversal of 101110100110100 is 1011001011101.

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, 129891851 + ... + 130667949.

It is an arithmetic number, because the mean of its divisors is an integer number (3077760367500).

Almost surely, 2^{101110100110100} is an apocalyptic number.

101110100110100 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 101110100110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110799373230000).

101110100110100 is an abundant number, since it is smaller than the sum of its proper divisors (120488646349900).

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

101110100110100 is a wasteful number, since it uses less digits than its factorization.

101110100110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789113 (or 789106 counting only the distinct ones).

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

Adding to 101110100110100 its reverse (1011001011101), we get a palindrome (102121101121201).

It can be divided in two parts, 1011101001 and 10100, that added together give a palindrome (1011111101).

The spelling of 101110100110100 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred ten thousand, one hundred".