122102100000 has 576 divisors, whose sum is σ = 456405788160. Its totient is φ = 31737600000.

The previous prime is 122102099981. The next prime is 122102100013. The reversal of 122102100000 is 1201221.

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

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, 110699449 + ... + 110700551.

It is an arithmetic number, because the mean of its divisors is an integer number (792371160).

Almost surely, 2^122102100000 is an apocalyptic number.

122102100000 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 122102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228202894080).

122102100000 is an abundant number, since it is smaller than the sum of its proper divisors (334303688160).

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

122102100000 is an equidigital number, since it uses as much as digits as its factorization.

122102100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1154 counting only the distinct ones).

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

Adding to 122102100000 its reverse (1201221), we get a palindrome (122103301221).

The spelling of 122102100000 in words is "one hundred twenty-two billion, one hundred two million, one hundred thousand".