122101011000100 has 288 divisors, whose sum is σ = 303206343552000. Its totient is φ = 42245978227200.

The previous prime is 122101011000047. The next prime is 122101011000161. The reversal of 122101011000100 is 1000110101221.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 7058261251 + ... + 7058278549.

It is an arithmetic number, because the mean of its divisors is an integer number (1052799804000).

Almost surely, 2^{122101011000100} is an apocalyptic number.

122101011000100 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 122101011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151603171776000).

122101011000100 is an abundant number, since it is smaller than the sum of its proper divisors (181105332551900).

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

122101011000100 is a wasteful number, since it uses less digits than its factorization.

122101011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18803 (or 18796 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 122101011000100 its reverse (1000110101221), we get a palindrome (123101121101321).

The spelling of 122101011000100 in words is "one hundred twenty-two trillion, one hundred one billion, eleven million, one hundred", and thus it is an aban number.