10122102101221 has 8 divisors (see below), whose sum is σ = 11182069065600. Its totient is φ = 9085431114240.

The previous prime is 10122102101179. The next prime is 10122102101291. The reversal of 10122102101221 is 12210120122101.

10122102101221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10122102101221 - 2²¹ = 10122100004069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122102101195 and 10122102101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122102101291) 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, 5823993436 + ... + 5823995173.

It is an arithmetic number, because the mean of its divisors is an integer number (1397758633200).

Almost surely, 2^{10122102101221} is an apocalyptic number.

10122102101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122102101221 is a deficient number, since it is larger than the sum of its proper divisors (1059966964379).

10122102101221 is a wasteful number, since it uses less digits than its factorization.

10122102101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11647988699.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122102101221 its reverse (12210120122101), we get a palindrome (22332222223322).

The spelling of 10122102101221 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, one hundred one thousand, two hundred twenty-one".