102110100202220 has 96 divisors (see below), whose sum is σ = 235448794828800. Its totient is φ = 36889787513600.

The previous prime is 102110100202217. The next prime is 102110100202241. The reversal of 102110100202220 is 22202001011201.

It is a junction number, because it is equal to n+sod(n) for n = 102110100202195 and 102110100202204.

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, 20409086 + ... + 24914874.

It is an arithmetic number, because the mean of its divisors is an integer number (2452591612800).

Almost surely, 2^{102110100202220} is an apocalyptic number.

102110100202220 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 102110100202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117724397414400).

102110100202220 is an abundant number, since it is smaller than the sum of its proper divisors (133338694626580).

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

102110100202220 is a wasteful number, since it uses less digits than its factorization.

102110100202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506479 (or 4506477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102110100202220 its reverse (22202001011201), we get a palindrome (124312101213421).

The spelling of 102110100202220 in words is "one hundred two trillion, one hundred ten billion, one hundred million, two hundred two thousand, two hundred twenty".