102220022201220 has 288 divisors, whose sum is σ = 386844036074496. Its totient is φ = 21225881376000.

The previous prime is 102220022201203. The next prime is 102220022201261. The reversal of 102220022201220 is 22102220022201.

102220022201220 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 0 + 2 + 220 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102220022201193 and 102220022201202.

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, 17569447 + ... + 22652273.

It is an arithmetic number, because the mean of its divisors is an integer number (1343208458592).

Almost surely, 2^{102220022201220} is an apocalyptic number.

102220022201220 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 102220022201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193422018037248).

102220022201220 is an abundant number, since it is smaller than the sum of its proper divisors (284624013873276).

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

102220022201220 is a wasteful number, since it uses less digits than its factorization.

102220022201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084311 (or 5084306 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102220022201220 its reverse (22102220022201), we get a palindrome (124322242223421).

The spelling of 102220022201220 in words is "one hundred two trillion, two hundred twenty billion, twenty-two million, two hundred one thousand, two hundred twenty".