101200111221120 has 256 divisors, whose sum is σ = 327284338449600. Its totient is φ = 26593398226944.

The previous prime is 101200111221061. The next prime is 101200111221173. The reversal of 101200111221120 is 21122111002101.

It is a happy number.

It is a super-2 number, since 2×101200111221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101200111221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157920874 + ... + 158560406.

Almost surely, 2^{101200111221120} is an apocalyptic number.

101200111221120 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 101200111221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163642169224800).

101200111221120 is an abundant number, since it is smaller than the sum of its proper divisors (226084227228480).

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

101200111221120 is a wasteful number, since it uses less digits than its factorization.

101200111221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640757 (or 640745 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101200111221120 its reverse (21122111002101), we get a palindrome (122322222223221).

The spelling of 101200111221120 in words is "one hundred one trillion, two hundred billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".