102022022120220 has 96 divisors (see below), whose sum is σ = 327640615895040. Its totient is φ = 26328263768640.

The previous prime is 102022022120177. The next prime is 102022022120231. The reversal of 102022022120220 is 22021220220201.

102022022120220 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 220 + 221 + 2 + 0 + 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 = 102022022120193 and 102022022120202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3047236012 + ... + 3047269491.

It is an arithmetic number, because the mean of its divisors is an integer number (3412923082240).

Almost surely, 2^{102022022120220} is an apocalyptic number.

102022022120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022022120220 is an abundant number, since it is smaller than the sum of its proper divisors (225618593774820).

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

102022022120220 is a wasteful number, since it uses less digits than its factorization.

102022022120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094505552 (or 6094505544 counting only the distinct ones).

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

Adding to 102022022120220 its reverse (22021220220201), we get a palindrome (124043242340421).

The spelling of 102022022120220 in words is "one hundred two trillion, twenty-two billion, twenty-two million, one hundred twenty thousand, two hundred twenty".