10011011141142 has 96 divisors (see below), whose sum is σ = 24908751504000. Its totient is φ = 2873862270720.

The previous prime is 10011011141119. The next prime is 10011011141203. The reversal of 10011011141142 is 24114111011001.

It is a happy number.

10011011141142 is a `hidden beast` number, since 100 + 1 + 1 + 0 + 111 + 411 + 42 = 666.

10011011141142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172191534 + ... + 172249662.

It is an arithmetic number, because the mean of its divisors is an integer number (259466161500).

Almost surely, 2^{10011011141142} is an apocalyptic number.

10011011141142 is an abundant number, since it is smaller than the sum of its proper divisors (14897740362858).

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

10011011141142 is a wasteful number, since it uses less digits than its factorization.

10011011141142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103946 (or 103943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10011011141142 its reverse (24114111011001), we get a palindrome (34125122152143).

The spelling of 10011011141142 in words is "ten trillion, eleven billion, eleven million, one hundred forty-one thousand, one hundred forty-two".