101100021120 has 384 divisors, whose sum is σ = 405756000000. Its totient is φ = 22716370944.

The previous prime is 101100021107. The next prime is 101100021163. The reversal of 101100021120 is 21120001101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2357631 + ... + 2400129.

It is an arithmetic number, because the mean of its divisors is an integer number (1056656250).

Almost surely, 2^101100021120 is an apocalyptic number.

101100021120 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 101100021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202878000000).

101100021120 is an abundant number, since it is smaller than the sum of its proper divisors (304655978880).

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

101100021120 is a wasteful number, since it uses less digits than its factorization.

101100021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42590 (or 42575 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100021120 its reverse (21120001101), we get a palindrome (122220022221).

The spelling of 101100021120 in words is "one hundred one billion, one hundred million, twenty-one thousand, one hundred twenty".