10200002202101 has 8 divisors (see below), whose sum is σ = 10236600657624. Its totient is φ = 10163405871360.

The previous prime is 10200002202037. The next prime is 10200002202107. The reversal of 10200002202101 is 10120220000201.

It is a happy number.

10200002202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2092463506225 + 8107538695876 = 1446535^2 + 2847374^2 .

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 10200002202101 - 2⁶ = 10200002202037 is a prime.

It is a super-4 number, since 4×10200002202101⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200002202107) 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, 9420815 + ... + 10447571.

It is an arithmetic number, because the mean of its divisors is an integer number (1279575082203).

Almost surely, 2^{10200002202101} is an apocalyptic number.

It is an amenable number.

10200002202101 is a deficient number, since it is larger than the sum of its proper divisors (36598455523).

10200002202101 is a wasteful number, since it uses less digits than its factorization.

10200002202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062391.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200002202101 its reverse (10120220000201), we get a palindrome (20320222202302).

The spelling of 10200002202101 in words is "ten trillion, two hundred billion, two million, two hundred two thousand, one hundred one".