10200102111 has 24 divisors (see below), whose sum is σ = 15596003280. Its totient is φ = 6412887936.

The previous prime is 10200102109. The next prime is 10200102113. The reversal of 10200102111 is 11120100201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10200102109) and next prime (10200102113).

It is not a de Polignac number, because 10200102111 - 2¹ = 10200102109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200102093 and 10200102102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200102113) 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 23 ways as a sum of consecutive naturals, for example, 443206 + ... + 465651.

It is an arithmetic number, because the mean of its divisors is an integer number (649833470).

Almost surely, 2^10200102111 is an apocalyptic number.

10200102111 is a deficient number, since it is larger than the sum of its proper divisors (5395901169).

10200102111 is a wasteful number, since it uses less digits than its factorization.

10200102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908935 (or 908932 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200102111 its reverse (11120100201), we get a palindrome (21320202312).

It can be divided in two parts, 1020010 and 2111, that added together give a square (1022121 = 1011²).

The spelling of 10200102111 in words is "ten billion, two hundred million, one hundred two thousand, one hundred eleven".