10000101121112 has 16 divisors (see below), whose sum is σ = 18752334818400. Its totient is φ = 4999478502880.

The previous prime is 10000101121111. The next prime is 10000101121169. The reversal of 10000101121112 is 21112110100001.

It is a junction number, because it is equal to n+sod(n) for n = 10000101121093 and 10000101121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101121111) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 71432912 + ... + 71572767.

It is an arithmetic number, because the mean of its divisors is an integer number (1172020926150).

Almost surely, 2^{10000101121112} is an apocalyptic number.

It is an amenable number.

10000101121112 is a deficient number, since it is larger than the sum of its proper divisors (8752233697288).

10000101121112 is a wasteful number, since it uses less digits than its factorization.

10000101121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143014426 (or 143014422 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10000101121112 its reverse (21112110100001), we get a palindrome (31112211221113).

The spelling of 10000101121112 in words is "ten trillion, one hundred one million, one hundred twenty-one thousand, one hundred twelve".