122000010001002 has 256 divisors, whose sum is σ = 318982003200000. Its totient is φ = 33844823764992.

The previous prime is 122000010000997. The next prime is 122000010001039. The reversal of 122000010001002 is 200100010000221.

It is a super-3 number, since 3×122000010001002³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1079427198 + ... + 1079540214.

It is an arithmetic number, because the mean of its divisors is an integer number (1246023450000).

Almost surely, 2^{122000010001002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122000010001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159491001600000).

122000010001002 is an abundant number, since it is smaller than the sum of its proper divisors (196981993198998).

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

122000010001002 is a wasteful number, since it uses less digits than its factorization.

122000010001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113690 (or 113684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122000010001002 its reverse (200100010000221), we get a palindrome (322100020001223).

The spelling of 122000010001002 in words is "one hundred twenty-two trillion, ten million, one thousand, two".