122300102221020 has 288 divisors, whose sum is σ = 410294573724672. Its totient is φ = 29330480830464.

The previous prime is 122300102220931. The next prime is 122300102221039. The reversal of 122300102221020 is 20122201003221.

122300102221020 is a `hidden beast` number, since 1 + 22 + 300 + 102 + 221 + 0 + 20 = 666.

It is a super-2 number, since 2×122300102221020² (a number of 29 digits) contains 22 as substring.

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 = 122300102220984 and 122300102221002.

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, 68299659 + ... + 70067421.

It is an arithmetic number, because the mean of its divisors is an integer number (1424633936544).

Almost surely, 2^{122300102221020} is an apocalyptic number.

122300102221020 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 122300102221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205147286862336).

122300102221020 is an abundant number, since it is smaller than the sum of its proper divisors (287994471503652).

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

122300102221020 is a wasteful number, since it uses less digits than its factorization.

122300102221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768801 (or 1768796 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122300102221020 its reverse (20122201003221), we get a palindrome (142422303224241).

The spelling of 122300102221020 in words is "one hundred twenty-two trillion, three hundred billion, one hundred two million, two hundred twenty-one thousand, twenty".