10202121120101 has 16 divisors (see below), whose sum is σ = 10499392149504. Its totient is φ = 9910263976704.

The previous prime is 10202121120053. The next prime is 10202121120131. The reversal of 10202121120101 is 10102112120201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10202121120101 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 (10202121120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2746055 + ... + 5286308.

It is an arithmetic number, because the mean of its divisors is an integer number (656212009344).

Almost surely, 2^{10202121120101} is an apocalyptic number.

It is an amenable number.

10202121120101 is a deficient number, since it is larger than the sum of its proper divisors (297271029403).

10202121120101 is a wasteful number, since it uses less digits than its factorization.

10202121120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032700.

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

Adding to 10202121120101 its reverse (10102112120201), we get a palindrome (20304233240302).

The spelling of 10202121120101 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred one".