122123201020100 has 54 divisors (see below), whose sum is σ = 308273851730250. Its totient is φ = 41870811776640.

The previous prime is 122123201020091. The next prime is 122123201020103. The reversal of 122123201020100 is 1020102321221.

It can be written as a sum of positive squares in 3 ways, for example, as 20869858269316 + 101253342750784 = 4568354^2 + 10062472^2 .

It is not an unprimeable number, because it can be changed into a prime (122123201020103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12461546225 + ... + 12461556024.

Almost surely, 2^{122123201020100} is an apocalyptic number.

122123201020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122123201020100 is an abundant number, since it is smaller than the sum of its proper divisors (186150650710150).

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

122123201020100 is a wasteful number, since it uses less digits than its factorization.

122123201020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24923102277 (or 24923102263 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122123201020100 its reverse (1020102321221), we get a palindrome (123143303341321).

The spelling of 122123201020100 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred one million, twenty thousand, one hundred".