101100102220 has 144 divisors (see below), whose sum is σ = 237383879040. Its totient is φ = 35952698880.

The previous prime is 101100102199. The next prime is 101100102223. The reversal of 101100102220 is 22201001101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101100102197 and 101100102206.

It is not an unprimeable number, because it can be changed into a prime (101100102223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59715694 + ... + 59717386.

It is an arithmetic number, because the mean of its divisors is an integer number (1648499160).

Almost surely, 2^101100102220 is an apocalyptic number.

101100102220 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 101100102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118691939520).

101100102220 is an abundant number, since it is smaller than the sum of its proper divisors (136283776820).

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

101100102220 is a wasteful number, since it uses less digits than its factorization.

101100102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101100102220 its reverse (22201001101), we get a palindrome (123301103321).

The spelling of 101100102220 in words is "one hundred one billion, one hundred million, one hundred two thousand, two hundred twenty".