10142563214061 has 96 divisors (see below), whose sum is σ = 16353505808640. Its totient is φ = 6024547584000.

The previous prime is 10142563214023. The next prime is 10142563214081. The reversal of 10142563214061 is 16041236524101.

10142563214061 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 5 + 632 + 14 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 10142563214061 - 2⁶ = 10142563213997 is a prime.

It is a super-2 number, since 2×10142563214061² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142563214081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1258534650 + ... + 1258542708.

It is an arithmetic number, because the mean of its divisors is an integer number (170349018840).

Almost surely, 2^{10142563214061} is an apocalyptic number.

It is an amenable number.

10142563214061 is a deficient number, since it is larger than the sum of its proper divisors (6210942594579).

10142563214061 is a wasteful number, since it uses less digits than its factorization.

10142563214061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11747 (or 11744 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 10142563214061 its reverse (16041236524101), we get a palindrome (26183799738162).

The spelling of 10142563214061 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, two hundred fourteen thousand, sixty-one".