10142563211145 has 48 divisors (see below), whose sum is σ = 18214775804160. Its totient is φ = 5214764322432.

The previous prime is 10142563211141. The next prime is 10142563211149. The reversal of 10142563211145 is 54111236524101.

10142563211145 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 5 + 632 + 1 + 1 + 14 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10142563211141) and next prime (10142563211149).

It is not a de Polignac number, because 10142563211145 - 2² = 10142563211141 is a prime.

It is a super-2 number, since 2×10142563211145² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10142563211141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5161909 + ... + 6850578.

It is an arithmetic number, because the mean of its divisors is an integer number (379474495920).

Almost surely, 2^{10142563211145} is an apocalyptic number.

10142563211145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10142563211145 is a deficient number, since it is larger than the sum of its proper divisors (8072212593015).

10142563211145 is a wasteful number, since it uses less digits than its factorization.

10142563211145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12013174 (or 12013171 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 10142563211145 its reverse (54111236524101), we get a palindrome (64253799735246).

The spelling of 10142563211145 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, two hundred eleven thousand, one hundred forty-five".