122000022210100 has 72 divisors (see below), whose sum is σ = 269171086432248. Its totient is φ = 47983768972800.

The previous prime is 122000022210061. The next prime is 122000022210109. The reversal of 122000022210100 is 1012220000221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 87177253439376 + 34822768770724 = 9336876^2 + 5901082^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000022210109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14655894 + ... + 21419506.

It is an arithmetic number, because the mean of its divisors is an integer number (3738487311559).

Almost surely, 2^{122000022210100} is an apocalyptic number.

122000022210100 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 122000022210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134585543216124).

122000022210100 is an abundant number, since it is smaller than the sum of its proper divisors (147171064222148).

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

122000022210100 is a wasteful number, since it uses less digits than its factorization.

122000022210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766645 (or 6766638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122000022210100 its reverse (1012220000221), we get a palindrome (123012242210321).

The spelling of 122000022210100 in words is "one hundred twenty-two trillion, twenty-two million, two hundred ten thousand, one hundred".