102022122122000 has 160 divisors (see below), whose sum is σ = 252726066684000. Its totient is φ = 39810398208000.

The previous prime is 102022122121963. The next prime is 102022122122023. The reversal of 102022122122000 is 221221220201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 100826581067536 + 1195541054464 = 10041244^2 + 1093408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102022122122000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242176936 + ... + 1242259064.

It is an arithmetic number, because the mean of its divisors is an integer number (1579537916775).

Almost surely, 2^{102022122122000} is an apocalyptic number.

102022122122000 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 102022122122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126363033342000).

102022122122000 is an abundant number, since it is smaller than the sum of its proper divisors (150703944562000).

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

102022122122000 is a wasteful number, since it uses less digits than its factorization.

102022122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97342 (or 97326 counting only the distinct ones).

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

Adding to 102022122122000 its reverse (221221220201), we get a palindrome (102243343342201).

The spelling of 102022122122000 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand".