10121200012112 has 30 divisors (see below), whose sum is σ = 22811429110698. Its totient is φ = 4337657147712.

The previous prime is 10121200012109. The next prime is 10121200012129. The reversal of 10121200012112 is 21121000212101.

It can be written as a sum of positive squares in only one way, i.e., 10056661658176 + 64538353936 = 3171224^2 + 254044^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6454846163 + ... + 6454847730.

Almost surely, 2^{10121200012112} is an apocalyptic number.

It is an amenable number.

10121200012112 is an abundant number, since it is smaller than the sum of its proper divisors (12690229098586).

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

10121200012112 is a wasteful number, since it uses less digits than its factorization.

10121200012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12909693915 (or 12909693902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121200012112 its reverse (21121000212101), we get a palindrome (31242200224213).

The spelling of 10121200012112 in words is "ten trillion, one hundred twenty-one billion, two hundred million, twelve thousand, one hundred twelve".