101100311120 has 80 divisors (see below), whose sum is σ = 239815646352. Its totient is φ = 39623700480.

The previous prime is 101100311119. The next prime is 101100311131. The reversal of 101100311120 is 21113001101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 337236496 + 100763074624 = 18364^2 + 317432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3210974 + ... + 3242306.

Almost surely, 2^101100311120 is an apocalyptic number.

101100311120 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 101100311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119907823176).

101100311120 is an abundant number, since it is smaller than the sum of its proper divisors (138715335232).

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

101100311120 is a wasteful number, since it uses less digits than its factorization.

101100311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32160 (or 32154 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101100311120 its reverse (21113001101), we get a palindrome (122213312221).

The spelling of 101100311120 in words is "one hundred one billion, one hundred million, three hundred eleven thousand, one hundred twenty".