102001121121222 has 80 divisors (see below), whose sum is σ = 231219676519920. Its totient is φ = 33604741133568.

The previous prime is 102001121121217. The next prime is 102001121121241. The reversal of 102001121121222 is 222121121100201.

102001121121222 is a `hidden beast` number, since 1 + 0 + 200 + 1 + 121 + 121 + 222 = 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 = 102001121121195 and 102001121121204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34225353 + ... + 37086075.

It is an arithmetic number, because the mean of its divisors is an integer number (2890245956499).

Almost surely, 2^{102001121121222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001121121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115609838259960).

102001121121222 is an abundant number, since it is smaller than the sum of its proper divisors (129218555398698).

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

102001121121222 is a wasteful number, since it uses less digits than its factorization.

102001121121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863299 (or 2863290 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102001121121222 its reverse (222121121100201), we get a palindrome (324122242221423).

The spelling of 102001121121222 in words is "one hundred two trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-two".