122001010100100 has 432 divisors, whose sum is σ = 398246545645312. Its totient is φ = 31210826065920.

The previous prime is 122001010100089. The next prime is 122001010100153. The reversal of 122001010100100 is 1001010100221.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 10606010949 + ... + 10606022451.

Almost surely, 2^{122001010100100} is an apocalyptic number.

122001010100100 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 122001010100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199123272822656).

122001010100100 is an abundant number, since it is smaller than the sum of its proper divisors (276245535545212).

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

122001010100100 is a wasteful number, since it uses less digits than its factorization.

122001010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15996 (or 15986 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 122001010100100 its reverse (1001010100221), we get a palindrome (123002020200321).

The spelling of 122001010100100 in words is "one hundred twenty-two trillion, one billion, ten million, one hundred thousand, one hundred".