10200002121 has 12 divisors (see below), whose sum is σ = 15131535172. Its totient is φ = 6616217376.

The previous prime is 10200002101. The next prime is 10200002147. The reversal of 10200002121 is 12120000201.

It can be written as a sum of positive squares in 2 ways, for example, as 6329793600 + 3870208521 = 79560^2 + 62211^2 .

It is not a de Polignac number, because 10200002121 - 2¹⁷ = 10199871049 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200002101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15314986 + ... + 15315651.

Almost surely, 2^10200002121 is an apocalyptic number.

It is an amenable number.

10200002121 is a deficient number, since it is larger than the sum of its proper divisors (4931533051).

10200002121 is a wasteful number, since it uses less digits than its factorization.

10200002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30630680 (or 30630677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200002121 its reverse (12120000201), we get a palindrome (22320002322).

It can be divided in two parts, 1020000 and 2121, that added together give a square (1022121 = 1011²).

The spelling of 10200002121 in words is "ten billion, two hundred million, two thousand, one hundred twenty-one".