101201321120 has 96 divisors (see below), whose sum is σ = 252997758720. Its totient is φ = 38175047680.

The previous prime is 101201321119. The next prime is 101201321149. The reversal of 101201321120 is 21123102101.

It is a junction number, because it is equal to n+sod(n) for n = 101201321095 and 101201321104.

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, 67616 + ... + 454944.

It is an arithmetic number, because the mean of its divisors is an integer number (2635393320).

Almost surely, 2^101201321120 is an apocalyptic number.

101201321120 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 101201321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126498879360).

101201321120 is an abundant number, since it is smaller than the sum of its proper divisors (151796437600).

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

101201321120 is a wasteful number, since it uses less digits than its factorization.

101201321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387438 (or 387430 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101201321120 its reverse (21123102101), we get a palindrome (122324423221).

The spelling of 101201321120 in words is "one hundred one billion, two hundred one million, three hundred twenty-one thousand, one hundred twenty".