101100200102220 has 288 divisors, whose sum is σ = 317118549021120. Its totient is φ = 24043827456000.

The previous prime is 101100200102203. The next prime is 101100200102261. The reversal of 101100200102220 is 22201002001101.

It is a super-3 number, since 3×101100200102220³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101100200102196 and 101100200102205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79292874 + ... + 80557806.

It is an arithmetic number, because the mean of its divisors is an integer number (1101106072990).

Almost surely, 2^{101100200102220} is an apocalyptic number.

101100200102220 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 101100200102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158559274510560).

101100200102220 is an abundant number, since it is smaller than the sum of its proper divisors (216018348918900).

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

101100200102220 is a wasteful number, since it uses less digits than its factorization.

101100200102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265177 (or 1265164 counting only the distinct ones).

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

Adding to 101100200102220 its reverse (22201002001101), we get a palindrome (123301202103321).

The spelling of 101100200102220 in words is "one hundred one trillion, one hundred billion, two hundred million, one hundred two thousand, two hundred twenty".