101001101120 has 112 divisors (see below), whose sum is σ = 244581078528. Its totient is φ = 39719608320.

The previous prime is 101001101119. The next prime is 101001101141. The reversal of 101001101120 is 21101100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101001101098 and 101001101107.

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, 8332184 + ... + 8344296.

Almost surely, 2^101001101120 is an apocalyptic number.

101001101120 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 101001101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122290539264).

101001101120 is an abundant number, since it is smaller than the sum of its proper divisors (143579977408).

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

101001101120 is a wasteful number, since it uses less digits than its factorization.

101001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12568 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001101120 its reverse (21101100101), we get a palindrome (122102201221).

The spelling of 101001101120 in words is "one hundred one billion, one million, one hundred one thousand, one hundred twenty".