10100202202111 has 16 divisors (see below), whose sum is σ = 11552167621120. Its totient is φ = 8650508853600.

The previous prime is 10100202201997. The next prime is 10100202202127. The reversal of 10100202202111 is 11120220200101.

It is a cyclic number.

It is not a de Polignac number, because 10100202202111 - 2²¹ = 10100200104959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100202202091 and 10100202202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100202202511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56351686 + ... + 56530636.

It is an arithmetic number, because the mean of its divisors is an integer number (722010476320).

Almost surely, 2^{10100202202111} is an apocalyptic number.

10100202202111 is a deficient number, since it is larger than the sum of its proper divisors (1451965419009).

10100202202111 is a wasteful number, since it uses less digits than its factorization.

10100202202111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185254.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100202202111 its reverse (11120220200101), we get a palindrome (21220422402212).

The spelling of 10100202202111 in words is "ten trillion, one hundred billion, two hundred two million, two hundred two thousand, one hundred eleven".