10201242131031 has 12 divisors (see below), whose sum is σ = 15822334734072. Its totient is φ = 5829281217648.

The previous prime is 10201242131029. The next prime is 10201242131033. The reversal of 10201242131031 is 13013124210201.

It is an interprime number because it is at equal distance from previous prime (10201242131029) and next prime (10201242131033).

It is not a de Polignac number, because 10201242131031 - 2¹ = 10201242131029 is a prime.

It is a super-2 number, since 2×10201242131031² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10201242130989 and 10201242131007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201242131033) 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 11 ways as a sum of consecutive naturals, for example, 34698102340 + ... + 34698102633.

It is an arithmetic number, because the mean of its divisors is an integer number (1318527894506).

Almost surely, 2^{10201242131031} is an apocalyptic number.

10201242131031 is a deficient number, since it is larger than the sum of its proper divisors (5621092603041).

10201242131031 is an equidigital number, since it uses as much as digits as its factorization.

10201242131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69396204990 (or 69396204983 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10201242131031 its reverse (13013124210201), we get a palindrome (23214366341232).

The spelling of 10201242131031 in words is "ten trillion, two hundred one billion, two hundred forty-two million, one hundred thirty-one thousand, thirty-one".