10142111216064 has 56 divisors (see below), whose sum is σ = 26925920839440. Its totient is φ = 3369165481984.

The previous prime is 10142111216053. The next prime is 10142111216131. The reversal of 10142111216064 is 46061211124101.

10142111216064 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-2 number, since 2×10142111216064² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 90086229 + ... + 90198740.

It is an arithmetic number, because the mean of its divisors is an integer number (480820014990).

Almost surely, 2^{10142111216064} is an apocalyptic number.

It is an amenable number.

10142111216064 is an abundant number, since it is smaller than the sum of its proper divisors (16783809623376).

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

10142111216064 is a wasteful number, since it uses less digits than its factorization.

10142111216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180285277 (or 180285267 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 10142111216064 in words is "ten trillion, one hundred forty-two billion, one hundred eleven million, two hundred sixteen thousand, sixty-four".