10142203032001 has 24 divisors (see below), whose sum is σ = 11335469145120. Its totient is φ = 9041831611776.

The previous prime is 10142203031981. The next prime is 10142203032023. The reversal of 10142203032001 is 10023030224101.

It is a happy number.

It is not a de Polignac number, because 10142203032001 - 2⁹ = 10142203031489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10142203032001.

It is not an unprimeable number, because it can be changed into a prime (10142203032041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41480830 + ... + 41724616.

It is an arithmetic number, because the mean of its divisors is an integer number (472311214380).

Almost surely, 2^{10142203032001} is an apocalyptic number.

It is an amenable number.

10142203032001 is a deficient number, since it is larger than the sum of its proper divisors (1193266113119).

10142203032001 is a wasteful number, since it uses less digits than its factorization.

10142203032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250621 (or 250602 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10142203032001 its reverse (10023030224101), we get a palindrome (20165233256102).

The spelling of 10142203032001 in words is "ten trillion, one hundred forty-two billion, two hundred three million, thirty-two thousand, one".