10120222122101 has 48 divisors (see below), whose sum is σ = 13529551343616. Its totient is φ = 7476855289344.

The previous prime is 10120222122071. The next prime is 10120222122113. The reversal of 10120222122101 is 10122122202101.

It is not a de Polignac number, because 10120222122101 - 2¹⁴ = 10120222105717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10120222122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120222122161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2304041 + ... + 5054606.

It is an arithmetic number, because the mean of its divisors is an integer number (281865652992).

Almost surely, 2^{10120222122101} is an apocalyptic number.

It is an amenable number.

10120222122101 is a deficient number, since it is larger than the sum of its proper divisors (3409329221515).

10120222122101 is a wasteful number, since it uses less digits than its factorization.

10120222122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7358818 (or 7358811 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10120222122101 its reverse (10122122202101), we get a palindrome (20242344324202).

It can be divided in two parts, 101 and 20222122101, that added together give a palindrome (20222122202).

The spelling of 10120222122101 in words is "ten trillion, one hundred twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".