102221022220020 has 288 divisors, whose sum is σ = 358183158592896. Its totient is φ = 23321402572800.

The previous prime is 102221022220019. The next prime is 102221022220021. The reversal of 102221022220020 is 20022220122201.

102221022220020 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 0 + 222 + 200 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (102221022220019) and next prime (102221022220021).

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 = 102221022219975 and 102221022220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221022220021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477090715 + ... + 477304925.

It is an arithmetic number, because the mean of its divisors is an integer number (1243691522892).

Almost surely, 2^{102221022220020} is an apocalyptic number.

102221022220020 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 102221022220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179091579296448).

102221022220020 is an abundant number, since it is smaller than the sum of its proper divisors (255962136372876).

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

102221022220020 is a wasteful number, since it uses less digits than its factorization.

102221022220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228431 (or 228426 counting only the distinct ones).

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

Adding to 102221022220020 its reverse (20022220122201), we get a palindrome (122243242342221).

It can be divided in two parts, 102 and 221022220020, that added together give a palindrome (221022220122).

The spelling of 102221022220020 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty thousand, twenty".