10122120122101 has 8 divisors (see below), whose sum is σ = 10900906147040. Its totient is φ = 9343357154352.

The previous prime is 10122120122029. The next prime is 10122120122159. The reversal of 10122120122101 is 10122102122101.

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

It is not a de Polignac number, because 10122120122101 - 2⁷ = 10122120121973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122120122161) 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, 4847115 + ... + 6613528.

It is an arithmetic number, because the mean of its divisors is an integer number (1362613268380).

Almost surely, 2^{10122120122101} is an apocalyptic number.

It is an amenable number.

10122120122101 is a deficient number, since it is larger than the sum of its proper divisors (778786024939).

10122120122101 is a wasteful number, since it uses less digits than its factorization.

10122120122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11528595.

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

Adding to 10122120122101 its reverse (10122102122101), we get a palindrome (20244222244202).

The spelling of 10122120122101 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred one".