10200002112 has 70 divisors (see below), whose sum is σ = 30236016998. Its totient is φ = 3399998976.

The previous prime is 10200002101. The next prime is 10200002147. The reversal of 10200002112 is 21120000201.

It can be written as a sum of positive squares in only one way, i.e., 10044850176 + 155151936 = 100224^2 + 12456^2 .

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 = 10200002094 and 10200002103.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 978613 + ... + 988980.

Almost surely, 2^10200002112 is an apocalyptic number.

10200002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200002112 is an abundant number, since it is smaller than the sum of its proper divisors (20036014886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10200002112 is an equidigital number, since it uses as much as digits as its factorization.

10200002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967617 (or 1967598 counting only the distinct ones).

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

Adding to 10200002112 its reverse (21120000201), we get a palindrome (31320002313).

The spelling of 10200002112 in words is "ten billion, two hundred million, two thousand, one hundred twelve".