121012011101100 has 72 divisors (see below), whose sum is σ = 400146383381248. Its totient is φ = 27659888251200.

The previous prime is 121012011101057. The next prime is 121012011101143. The reversal of 121012011101100 is 1101110210121.

It is an interprime number because it is at equal distance from previous prime (121012011101057) and next prime (121012011101143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28812381496 + ... + 28812385695.

Almost surely, 2^{121012011101100} is an apocalyptic number.

121012011101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012011101100 is an abundant number, since it is smaller than the sum of its proper divisors (279134372280148).

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

121012011101100 is a wasteful number, since it uses less digits than its factorization.

121012011101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57624767215 (or 57624767208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121012011101100 its reverse (1101110210121), we get a palindrome (122113121311221).

The spelling of 121012011101100 in words is "one hundred twenty-one trillion, twelve billion, eleven million, one hundred one thousand, one hundred".