10202200202101 has 32 divisors (see below), whose sum is σ = 11415099744000. Its totient is φ = 9073152506880.

The previous prime is 10202200202063. The next prime is 10202200202149. The reversal of 10202200202101 is 10120200220201.

It is a happy number.

10202200202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10202200202101 - 2¹¹ = 10202200200053 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 (10202200232101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5132146 + ... + 6836908.

It is an arithmetic number, because the mean of its divisors is an integer number (356721867000).

Almost surely, 2^{10202200202101} is an apocalyptic number.

It is an amenable number.

10202200202101 is a deficient number, since it is larger than the sum of its proper divisors (1212899541899).

10202200202101 is a wasteful number, since it uses less digits than its factorization.

10202200202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705069.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202200202101 its reverse (10120200220201), we get a palindrome (20322400422302).

The spelling of 10202200202101 in words is "ten trillion, two hundred two billion, two hundred million, two hundred two thousand, one hundred one".