122122122010210 has 96 divisors (see below), whose sum is σ = 257164174049328. Its totient is φ = 41632206819840.

The previous prime is 122122122010127. The next prime is 122122122010211. The reversal of 122122122010210 is 12010221221221.

It can be written as a sum of positive squares in 8 ways, for example, as 34670204435881 + 87451917574329 = 5888141^2 + 9351573^2 .

It is not an unprimeable number, because it can be changed into a prime (122122122010211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549500832 + ... + 549723028.

Almost surely, 2^{122122122010210} is an apocalyptic number.

122122122010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122122122010210 is an abundant number, since it is smaller than the sum of its proper divisors (135042052039118).

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

122122122010210 is a wasteful number, since it uses less digits than its factorization.

122122122010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228596 (or 228589 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122122122010210 its reverse (12010221221221), we get a palindrome (134132343231431).

The spelling of 122122122010210 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, ten thousand, two hundred ten".