122102121101000 has 128 divisors (see below), whose sum is σ = 296152067484000. Its totient is φ = 47064029824000.

The previous prime is 122102121100997. The next prime is 122102121101027. The reversal of 122102121101000 is 101121201221.

It can be written as a sum of positive squares in 16 ways, for example, as 5632828196164 + 116469292904836 = 2373358^2 + 10792094^2 .

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, 10625030 + ... + 18896970.

Almost surely, 2^{122102121101000} is an apocalyptic number.

122102121101000 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 122102121101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148076033742000).

122102121101000 is an abundant number, since it is smaller than the sum of its proper divisors (174049946383000).

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

122102121101000 is a wasteful number, since it uses less digits than its factorization.

122102121101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272500 (or 8272486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122102121101000 its reverse (101121201221), we get a palindrome (122203242302221).

The spelling of 122102121101000 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-one million, one hundred one thousand".