122101210201000 has 64 divisors (see below), whose sum is σ = 288338087466000. Its totient is φ = 48392406201600.

The previous prime is 122101210200971. The next prime is 122101210201021. The reversal of 122101210201000 is 102012101221.

It can be written as a sum of positive squares in 8 ways, for example, as 34602135640164 + 87499074560836 = 5882358^2 + 9354094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559988295 + ... + 560206294.

Almost surely, 2^{122101210201000} is an apocalyptic number.

122101210201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101210201000 is an abundant number, since it is smaller than the sum of its proper divisors (166236877265000).

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

122101210201000 is a wasteful number, since it uses less digits than its factorization.

122101210201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120194719 (or 1120194705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122101210201000 its reverse (102012101221), we get a palindrome (122203222302221).

The spelling of 122101210201000 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred ten million, two hundred one thousand".