122100211000100 has 72 divisors (see below), whose sum is σ = 271154547602400. Its totient is φ = 47698059386880.

The previous prime is 122100211000081. The next prime is 122100211000121. The reversal of 122100211000100 is 1000112001221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31261604 + ... + 34949796.

Almost surely, 2^{122100211000100} is an apocalyptic number.

122100211000100 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 122100211000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135577273801200).

122100211000100 is an abundant number, since it is smaller than the sum of its proper divisors (149054336602300).

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

122100211000100 is a wasteful number, since it uses less digits than its factorization.

122100211000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695949 (or 3695942 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122100211000100 its reverse (1000112001221), we get a palindrome (123100323001321).

The spelling of 122100211000100 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred", and thus it is an aban number.