122101022201000 has 64 divisors (see below), whose sum is σ = 286395054201360. Its totient is φ = 48724398240000.

The previous prime is 122101022200987. The next prime is 122101022201023. The reversal of 122101022201000 is 102220101221.

It can be written as a sum of positive squares in 8 ways, for example, as 684468310276 + 121416553890724 = 827326^2 + 11018918^2 .

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, 144592091 + ... + 145434090.

Almost surely, 2^{122101022201000} is an apocalyptic number.

122101022201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101022201000 is an abundant number, since it is smaller than the sum of its proper divisors (164294032000360).

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

122101022201000 is a wasteful number, since it uses less digits than its factorization.

122101022201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290026623 (or 290026609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122101022201000 its reverse (102220101221), we get a palindrome (122203242302221).

It can be divided in two parts, 12 and 2101022201000, that added together give a palindrome (2101022201012).

The spelling of 122101022201000 in words is "one hundred twenty-two trillion, one hundred one billion, twenty-two million, two hundred one thousand".