10200101342431 has 48 divisors (see below), whose sum is σ = 13942209068928. Its totient is φ = 7335467697600.

The previous prime is 10200101342429. The next prime is 10200101342441. The reversal of 10200101342431 is 13424310100201.

It is not a de Polignac number, because 10200101342431 - 2¹ = 10200101342429 is a prime.

It is a super-2 number, since 2×10200101342431² (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 (10200101342441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41379576 + ... + 41625346.

It is an arithmetic number, because the mean of its divisors is an integer number (290462688936).

Almost surely, 2^{10200101342431} is an apocalyptic number.

10200101342431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10200101342431 is a deficient number, since it is larger than the sum of its proper divisors (3742107726497).

10200101342431 is a wasteful number, since it uses less digits than its factorization.

10200101342431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251732 (or 251725 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10200101342431 its reverse (13424310100201), we get a palindrome (23624411442632).

The spelling of 10200101342431 in words is "ten trillion, two hundred billion, one hundred one million, three hundred forty-two thousand, four hundred thirty-one".