10002431122101 has 48 divisors (see below), whose sum is σ = 16280960342400. Its totient is φ = 5864145240960.

The previous prime is 10002431122081. The next prime is 10002431122121. The reversal of 10002431122101 is 10122113420001.

10002431122101 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 431 + 1 + 221 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10002431122081) and next prime (10002431122121).

It is not a de Polignac number, because 10002431122101 - 2⁶ = 10002431122037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002431122121) 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, 7258401 + ... + 8525798.

It is an arithmetic number, because the mean of its divisors is an integer number (339186673800).

Almost surely, 2^{10002431122101} is an apocalyptic number.

10002431122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002431122101 is a deficient number, since it is larger than the sum of its proper divisors (6278529220299).

10002431122101 is a wasteful number, since it uses less digits than its factorization.

10002431122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15784426 (or 15784423 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10002431122101 its reverse (10122113420001), we get a palindrome (20124544542102).

The spelling of 10002431122101 in words is "ten trillion, two billion, four hundred thirty-one million, one hundred twenty-two thousand, one hundred one".