101121220200 has 768 divisors, whose sum is σ = 425312778240. Its totient is φ = 19192320000.

The previous prime is 101121220199. The next prime is 101121220201. The reversal of 101121220200 is 2022121101.

It is an interprime number because it is at equal distance from previous prime (101121220199) and next prime (101121220201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101121220201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60659767 + ... + 60661433.

It is an arithmetic number, because the mean of its divisors is an integer number (553792680).

Almost surely, 2^101121220200 is an apocalyptic number.

101121220200 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 101121220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212656389120).

101121220200 is an abundant number, since it is smaller than the sum of its proper divisors (324191558040).

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

101121220200 is a wasteful number, since it uses less digits than its factorization.

101121220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101121220200 its reverse (2022121101), we get a palindrome (103143341301).

Subtracting from 101121220200 its reverse (2022121101), we obtain a palindrome (99099099099).

The spelling of 101121220200 in words is "one hundred one billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".