122100210 has 72 divisors (see below), whose sum is σ = 329830956. Its totient is φ = 32542560.

The previous prime is 122100193. The next prime is 122100211. The reversal of 122100210 is 12001221.

It can be written as a sum of positive squares in 2 ways, for example, as 99261369 + 22838841 = 9963^2 + 4779^2 .

It is a super-2 number, since 2×122100210² = 29816922564088200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122100192 and 122100201.

It is not an unprimeable number, because it can be changed into a prime (122100211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64680 + ... + 66540.

Almost surely, 2^122100210 is an apocalyptic number.

122100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164915478).

122100210 is an abundant number, since it is smaller than the sum of its proper divisors (207730746).

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

122100210 is an frugal number, since it uses more digits than its factorization.

122100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122100210 is about 11049.8963796047. The cubic root of 122100210 is about 496.1033240565.

Adding to 122100210 its reverse (12001221), we get a palindrome (134101431).

The spelling of 122100210 in words is "one hundred twenty-two million, one hundred thousand, two hundred ten".