122002100 has 72 divisors (see below), whose sum is σ = 290793888. Its totient is φ = 44060800.

The previous prime is 122002093. The next prime is 122002103. The reversal of 122002100 is 1200221.

122002100 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

122002100 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002103) 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, 216419 + ... + 216981.

It is an arithmetic number, because the mean of its divisors is an integer number (4038804).

Almost surely, 2^122002100 is an apocalyptic number.

122002100 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 122002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145396944).

122002100 is an abundant number, since it is smaller than the sum of its proper divisors (168791788).

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

122002100 is a wasteful number, since it uses less digits than its factorization.

122002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

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

The square root of 122002100 is about 11045.4560793115. The cubic root of 122002100 is about 495.9704120834.

Adding to 122002100 its reverse (1200221), we get a palindrome (123202321).

The spelling of 122002100 in words is "one hundred twenty-two million, two thousand, one hundred".