101320211123120 has 120 divisors (see below), whose sum is σ = 258951385133952. Its totient is φ = 36840919864320.

The previous prime is 101320211123111. The next prime is 101320211123191. The reversal of 101320211123120 is 21321112023101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101320211123092 and 101320211123101.

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, 129486497 + ... + 130266623.

Almost surely, 2^{101320211123120} is an apocalyptic number.

101320211123120 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 101320211123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129475692566976).

101320211123120 is an abundant number, since it is smaller than the sum of its proper divisors (157631174010832).

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

101320211123120 is a wasteful number, since it uses less digits than its factorization.

101320211123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793579 (or 793562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101320211123120 its reverse (21321112023101), we get a palindrome (122641323146221).

The spelling of 101320211123120 in words is "one hundred one trillion, three hundred twenty billion, two hundred eleven million, one hundred twenty-three thousand, one hundred twenty".