10042512205201 has 16 divisors (see below), whose sum is σ = 11550545173504. Its totient is φ = 8552829040704.

The previous prime is 10042512205199. The next prime is 10042512205217. The reversal of 10042512205201 is 10250221524001.

It is a cyclic number.

It is not a de Polignac number, because 10042512205201 - 2¹ = 10042512205199 is a prime.

It is a super-2 number, since 2×10042512205201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042512205801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57954976 + ... + 58127998.

It is an arithmetic number, because the mean of its divisors is an integer number (721909073344).

Almost surely, 2^{10042512205201} is an apocalyptic number.

It is an amenable number.

10042512205201 is a deficient number, since it is larger than the sum of its proper divisors (1508032968303).

10042512205201 is a wasteful number, since it uses less digits than its factorization.

10042512205201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226000.

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 10042512205201 its reverse (10250221524001), we get a palindrome (20292733729202).

The spelling of 10042512205201 in words is "ten trillion, forty-two billion, five hundred twelve million, two hundred five thousand, two hundred one".