121012102122112 has 64 divisors (see below), whose sum is σ = 241331228265960. Its totient is φ = 60442703953920.

The previous prime is 121012102122091. The next prime is 121012102122199. The reversal of 121012102122112 is 211221201210121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79814497738816 + 41197604383296 = 8933896^2 + 6418536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×121012102122112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121012102122112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3135577888 + ... + 3135616480.

Almost surely, 2^{121012102122112} is an apocalyptic number.

It is an amenable number.

121012102122112 is a deficient number, since it is larger than the sum of its proper divisors (120319126143848).

121012102122112 is a wasteful number, since it uses less digits than its factorization.

121012102122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63621 (or 63609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 121012102122112 its reverse (211221201210121), we get a palindrome (332233303332233).

The spelling of 121012102122112 in words is "one hundred twenty-one trillion, twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".