10122121201100 has 72 divisors (see below), whose sum is σ = 22060252897200. Its totient is φ = 4031302240000.

The previous prime is 10122121201099. The next prime is 10122121201177. The reversal of 10122121201100 is 110212122101.

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, 72946586 + ... + 73085214.

It is an arithmetic number, because the mean of its divisors is an integer number (306392401350).

Almost surely, 2^{10122121201100} is an apocalyptic number.

10122121201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121201100 is an abundant number, since it is smaller than the sum of its proper divisors (11938131696100).

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

10122121201100 is a wasteful number, since it uses less digits than its factorization.

10122121201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141803 (or 141796 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10122121201100 its reverse (110212122101), we get a palindrome (10232333323201).

The spelling of 10122121201100 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand, one hundred".