122002100012100 has 576 divisors, whose sum is σ = 445789067673600. Its totient is φ = 25023256128000.

The previous prime is 122002100012081. The next prime is 122002100012147. The reversal of 122002100012100 is 1210001200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8976676305 + ... + 8976689895.

It is an arithmetic number, because the mean of its divisors is an integer number (773939353600).

Almost surely, 2^{122002100012100} is an apocalyptic number.

122002100012100 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 122002100012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222894533836800).

122002100012100 is an abundant number, since it is smaller than the sum of its proper divisors (323786967661500).

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

122002100012100 is a wasteful number, since it uses less digits than its factorization.

122002100012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18624 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122002100012100 its reverse (1210001200221), we get a palindrome (123212101212321).

The spelling of 122002100012100 in words is "one hundred twenty-two trillion, two billion, one hundred million, twelve thousand, one hundred".