122121022201100 has 144 divisors (see below), whose sum is σ = 298568282656896. Its totient is φ = 43055081472000.

The previous prime is 122121022201093. The next prime is 122121022201133. The reversal of 122121022201100 is 1102220121221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21869381 + ... + 26879580.

It is an arithmetic number, because the mean of its divisors is an integer number (2073390851784).

Almost surely, 2^{122121022201100} is an apocalyptic number.

122121022201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121022201100 is an abundant number, since it is smaller than the sum of its proper divisors (176447260455796).

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

122121022201100 is a wasteful number, since it uses less digits than its factorization.

122121022201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48749076 (or 48749069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122121022201100 its reverse (1102220121221), we get a palindrome (123223242322321).

The spelling of 122121022201100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-two million, two hundred one thousand, one hundred".