102222022021020 has 288 divisors, whose sum is σ = 342461377440000. Its totient is φ = 24474096092160.

The previous prime is 102222022020973. The next prime is 102222022021069. The reversal of 102222022021020 is 20120220222201.

102222022021020 is a `hidden beast` number, since 10 + 2 + 2 + 220 + 220 + 210 + 2 + 0 = 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 = 102222022020984 and 102222022021002.

It is a congruent number.

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, 151035331 + ... + 151710629.

It is an arithmetic number, because the mean of its divisors is an integer number (1189102005000).

Almost surely, 2^{102222022021020} is an apocalyptic number.

102222022021020 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 102222022021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171230688720000).

102222022021020 is an abundant number, since it is smaller than the sum of its proper divisors (240239355418980).

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

102222022021020 is a wasteful number, since it uses less digits than its factorization.

102222022021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676273 (or 676268 counting only the distinct ones).

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

Adding to 102222022021020 its reverse (20120220222201), we get a palindrome (122342242243221).

The spelling of 102222022021020 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-two million, twenty-one thousand, twenty".