10012000101112 has 32 divisors (see below), whose sum is σ = 19091493820800. Its totient is φ = 4920942333024.

The previous prime is 10012000101091. The next prime is 10012000101119. The reversal of 10012000101112 is 21110100021001.

10012000101112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10012000101112³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012000101119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10907173 + ... + 11789419.

It is an arithmetic number, because the mean of its divisors is an integer number (596609181900).

Almost surely, 2^{10012000101112} is an apocalyptic number.

It is an amenable number.

10012000101112 is a deficient number, since it is larger than the sum of its proper divisors (9079493719688).

10012000101112 is a wasteful number, since it uses less digits than its factorization.

10012000101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906355 (or 906351 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10012000101112 its reverse (21110100021001), we get a palindrome (31122100122113).

The spelling of 10012000101112 in words is "ten trillion, twelve billion, one hundred one thousand, one hundred twelve".