10100417437121 has 8 divisors (see below), whose sum is σ = 11030732316288. Its totient is φ = 9172118410000.

The previous prime is 10100417437081. The next prime is 10100417437139. The reversal of 10100417437121 is 12173471400101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100417437121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100417437181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503952530 + ... + 503972571.

It is an arithmetic number, because the mean of its divisors is an integer number (1378841539536).

Almost surely, 2^{10100417437121} is an apocalyptic number.

10100417437121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100417437121 is a deficient number, since it is larger than the sum of its proper divisors (930314879167).

10100417437121 is a wasteful number, since it uses less digits than its factorization.

10100417437121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007926023.

The product of its (nonzero) digits is 4704, while the sum is 32.

Adding to 10100417437121 its reverse (12173471400101), we get a palindrome (22273888837222).

The spelling of 10100417437121 in words is "ten trillion, one hundred billion, four hundred seventeen million, four hundred thirty-seven thousand, one hundred twenty-one".