121101020222112 has 216 divisors, whose sum is σ = 407173822496532. Its totient is φ = 34033073356800.

The previous prime is 121101020222107. The next prime is 121101020222123. The reversal of 121101020222112 is 211222020101121.

It can be written as a sum of positive squares in 2 ways, for example, as 80740360398096 + 40360659824016 = 8985564^2 + 6353004^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 69478689 + ... + 71200352.

Almost surely, 2^{121101020222112} is an apocalyptic number.

121101020222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121101020222112 is an abundant number, since it is smaller than the sum of its proper divisors (286072802274420).

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

121101020222112 is a wasteful number, since it uses less digits than its factorization.

121101020222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140679132 (or 140679114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121101020222112 its reverse (211222020101121), we get a palindrome (332323040323233).

The spelling of 121101020222112 in words is "one hundred twenty-one trillion, one hundred one billion, twenty million, two hundred twenty-two thousand, one hundred twelve".