102101220120220 has 144 divisors (see below), whose sum is σ = 234927029715840. Its totient is φ = 37150648762752.

The previous prime is 102101220120187. The next prime is 102101220120241. The reversal of 102101220120220 is 22021022101201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102101220120194 and 102101220120203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55982019 + ... + 57777061.

It is an arithmetic number, because the mean of its divisors is an integer number (1631437706360).

Almost surely, 2^{102101220120220} is an apocalyptic number.

102101220120220 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 102101220120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117463514857920).

102101220120220 is an abundant number, since it is smaller than the sum of its proper divisors (132825809595620).

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

102101220120220 is a wasteful number, since it uses less digits than its factorization.

102101220120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795232 (or 1795171 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102101220120220 its reverse (22021022101201), we get a palindrome (124122242221421).

The spelling of 102101220120220 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty".