102122122000220 has 72 divisors (see below), whose sum is σ = 255554383447440. Its totient is φ = 34159316056320.

The previous prime is 102122122000201. The next prime is 102122122000231. The reversal of 102122122000220 is 22000221221201.

It is a happy number.

102122122000220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270767710 + ... + 1270848069.

It is an arithmetic number, because the mean of its divisors is an integer number (3549366436770).

Almost surely, 2^{102122122000220} is an apocalyptic number.

102122122000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122122000220 is an abundant number, since it is smaller than the sum of its proper divisors (153432261447220).

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

102122122000220 is a wasteful number, since it uses less digits than its factorization.

102122122000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541615843 (or 2541615834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102122122000220 its reverse (22000221221201), we get a palindrome (124122343221421).

The spelling of 102122122000220 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty", and thus it is an aban number.