101102210220 has 192 divisors, whose sum is σ = 320227246080. Its totient is φ = 23611564800.

The previous prime is 101102210177. The next prime is 101102210281. The reversal of 101102210220 is 22012201101.

It is a super-2 number, since 2×101102210220² (a number of 23 digits) contains 22 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 = 101102210196 and 101102210205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4551501 + ... + 4573659.

It is an arithmetic number, because the mean of its divisors is an integer number (1667850240).

Almost surely, 2^101102210220 is an apocalyptic number.

101102210220 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 101102210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160113623040).

101102210220 is an abundant number, since it is smaller than the sum of its proper divisors (219125035860).

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

101102210220 is a wasteful number, since it uses less digits than its factorization.

101102210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22436 (or 22434 counting only the distinct ones).

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

Adding to 101102210220 its reverse (22012201101), we get a palindrome (123114411321).

The spelling of 101102210220 in words is "one hundred one billion, one hundred two million, two hundred ten thousand, two hundred twenty".