121101221202100 has 36 divisors (see below), whose sum is σ = 265391527753548. Its totient is φ = 47960879680000.

The previous prime is 121101221202097. The next prime is 121101221202193. The reversal of 121101221202100 is 1202122101121.

It can be written as a sum of positive squares in 6 ways, for example, as 6163481508496 + 114937739693604 = 2482636^2 + 10720902^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5995099861 + ... + 5995120060.

It is an arithmetic number, because the mean of its divisors is an integer number (7371986882043).

Almost surely, 2^{121101221202100} is an apocalyptic number.

121101221202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101221202100 is an abundant number, since it is smaller than the sum of its proper divisors (144290306551448).

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

121101221202100 is a wasteful number, since it uses less digits than its factorization.

121101221202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990220036 (or 11990220029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121101221202100 its reverse (1202122101121), we get a palindrome (122303343303221).

The spelling of 121101221202100 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred twenty-one million, two hundred two thousand, one hundred".