102022221121020 has 96 divisors (see below), whose sum is σ = 317412017260800. Its totient is φ = 27205106928192.

The previous prime is 102022221121019. The next prime is 102022221121021. The reversal of 102022221121020 is 20121122220201.

It is a happy number.

102022221121020 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 222 + 211 + 210 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (102022221121019) and next prime (102022221121021).

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 = 102022221120984 and 102022221121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022221121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15224571 + ... + 20876589.

It is an arithmetic number, because the mean of its divisors is an integer number (3306375179800).

Almost surely, 2^{102022221121020} is an apocalyptic number.

102022221121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022221121020 is an abundant number, since it is smaller than the sum of its proper divisors (215389796139780).

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

102022221121020 is a wasteful number, since it uses less digits than its factorization.

102022221121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685464 (or 5685456 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022221121020 its reverse (20121122220201), we get a palindrome (122143343341221).

The spelling of 102022221121020 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".