122210010100 has 72 divisors (see below), whose sum is σ = 279466363008. Its totient is φ = 46295568000.

The previous prime is 122210010079. The next prime is 122210010101. The reversal of 122210010100 is 1010012221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210010101) 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, 30744 + ... + 495343.

It is an arithmetic number, because the mean of its divisors is an integer number (3881477264).

Almost surely, 2^122210010100 is an apocalyptic number.

122210010100 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 122210010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139733181504).

122210010100 is an abundant number, since it is smaller than the sum of its proper divisors (157256352908).

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

122210010100 is a wasteful number, since it uses less digits than its factorization.

122210010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526225 (or 526218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122210010100 its reverse (1010012221), we get a palindrome (123220022321).

It can be divided in two parts, 1222100 and 10100, that multiplied together give a square (12343210000 = 111100²).

The spelling of 122210010100 in words is "one hundred twenty-two billion, two hundred ten million, ten thousand, one hundred".