10237201017642 has 32 divisors (see below), whose sum is σ = 22750060051200. Its totient is φ = 3412291670784.

The previous prime is 10237201017629. The next prime is 10237201017649. The reversal of 10237201017642 is 24671010273201.

10237201017642 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 7 + 2 + 0 + 1 + 0 + 1 + 7 + 642 = 666.

It is a super-2 number, since 2×10237201017642² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10237201017597 and 10237201017606.

It is not an unprimeable number, because it can be changed into a prime (10237201017649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298167 + ... + 4707402.

It is an arithmetic number, because the mean of its divisors is an integer number (710939376600).

Almost surely, 2^{10237201017642} is an apocalyptic number.

10237201017642 is an abundant number, since it is smaller than the sum of its proper divisors (12512859033558).

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

10237201017642 is a wasteful number, since it uses less digits than its factorization.

10237201017642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037147 (or 6037141 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10237201017642 in words is "ten trillion, two hundred thirty-seven billion, two hundred one million, seventeen thousand, six hundred forty-two".