122203302212100 has 288 divisors, whose sum is σ = 369380782116864. Its totient is φ = 31134137126400.

The previous prime is 122203302212051. The next prime is 122203302212111. The reversal of 122203302212100 is 1212203302221.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35288274969 + ... + 35288278431.

It is an arithmetic number, because the mean of its divisors is an integer number (1282572160128).

Almost surely, 2^{122203302212100} is an apocalyptic number.

122203302212100 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 122203302212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184690391058432).

122203302212100 is an abundant number, since it is smaller than the sum of its proper divisors (247177479904764).

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

122203302212100 is a wasteful number, since it uses less digits than its factorization.

122203302212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122203302212100 its reverse (1212203302221), we get a palindrome (123415505514321).

The spelling of 122203302212100 in words is "one hundred twenty-two trillion, two hundred three billion, three hundred two million, two hundred twelve thousand, one hundred".