122233213202100 has 576 divisors, whose sum is σ = 477656054722560. Its totient is φ = 23445321868800.

The previous prime is 122233213202099. The next prime is 122233213202101. The reversal of 122233213202100 is 1202312332221.

It is an interprime number because it is at equal distance from previous prime (122233213202099) and next prime (122233213202101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122233213202101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49546449 + ... + 51954951.

Almost surely, 2^{122233213202100} is an apocalyptic number.

122233213202100 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 122233213202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238828027361280).

122233213202100 is an abundant number, since it is smaller than the sum of its proper divisors (355422841520460).

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

122233213202100 is a wasteful number, since it uses less digits than its factorization.

122233213202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408577 (or 2408544 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122233213202100 its reverse (1202312332221), we get a palindrome (123435525534321).

The spelling of 122233213202100 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, two hundred thirteen million, two hundred two thousand, one hundred".