121102310112200 has 96 divisors (see below), whose sum is σ = 289414101033000. Its totient is φ = 47106351452160.

The previous prime is 121102310112197. The next prime is 121102310112211. The reversal of 121102310112200 is 2211013201121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4215983397796 + 116886326714404 = 2053286^2 + 10811398^2 .

It is a super-2 number, since 2×121102310112200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49354175 + ... + 51749774.

Almost surely, 2^{121102310112200} is an apocalyptic number.

121102310112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121102310112200 is an abundant number, since it is smaller than the sum of its proper divisors (168311790920800).

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

121102310112200 is a wasteful number, since it uses less digits than its factorization.

121102310112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101104131 (or 101104122 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 121102310112200 its reverse (2211013201121), we get a palindrome (123313323313321).

The spelling of 121102310112200 in words is "one hundred twenty-one trillion, one hundred two billion, three hundred ten million, one hundred twelve thousand, two hundred".