10102111217 has 8 divisors (see below), whose sum is σ = 11276775840. Its totient is φ = 8970161760.

The previous prime is 10102111211. The next prime is 10102111231. The reversal of 10102111217 is 71211120101.

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

It is a cyclic number.

It is not a de Polignac number, because 10102111217 - 2²⁶ = 10035002353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102111195 and 10102111204.

It is not an unprimeable number, because it can be changed into a prime (10102111211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10678292 + ... + 10679237.

It is an arithmetic number, because the mean of its divisors is an integer number (1409596980).

Almost surely, 2^10102111217 is an apocalyptic number.

It is an amenable number.

10102111217 is a deficient number, since it is larger than the sum of its proper divisors (1174664623).

10102111217 is a wasteful number, since it uses less digits than its factorization.

10102111217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21357583.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10102111217 its reverse (71211120101), we get a palindrome (81313231318).

The spelling of 10102111217 in words is "ten billion, one hundred two million, one hundred eleven thousand, two hundred seventeen".