102022121222120 has 128 divisors (see below), whose sum is σ = 279103579977600. Its totient is φ = 33078942720000.

The previous prime is 102022121222093. The next prime is 102022121222129. The reversal of 102022121222120 is 21222121220201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102022121222092 and 102022121222101.

It is not an unprimeable number, because it can be changed into a prime (102022121222129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358787381 + ... + 359071620.

It is an arithmetic number, because the mean of its divisors is an integer number (2180496718575).

Almost surely, 2^{102022121222120} is an apocalyptic number.

102022121222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022121222120 is an abundant number, since it is smaller than the sum of its proper divisors (177081458755480).

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

102022121222120 is a wasteful number, since it uses less digits than its factorization.

102022121222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717859059 (or 717859055 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102022121222120 its reverse (21222121220201), we get a palindrome (123244242442321).

The spelling of 102022121222120 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".