10102112202101 has 8 divisors (see below), whose sum is σ = 10141163470464. Its totient is φ = 10063103040720.

The previous prime is 10102112202089. The next prime is 10102112202109. The reversal of 10102112202101 is 10120221120101.

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 10102112202101 - 2⁶ = 10102112202037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102112202109) 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, 10045946 + ... + 11005691.

It is an arithmetic number, because the mean of its divisors is an integer number (1267645433808).

Almost surely, 2^{10102112202101} is an apocalyptic number.

It is an amenable number.

10102112202101 is a deficient number, since it is larger than the sum of its proper divisors (39051268363).

10102112202101 is a wasteful number, since it uses less digits than its factorization.

10102112202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21053491.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102112202101 its reverse (10120221120101), we get a palindrome (20222333322202).

The spelling of 10102112202101 in words is "ten trillion, one hundred two billion, one hundred twelve million, two hundred two thousand, one hundred one".