10202000112 has 80 divisors (see below), whose sum is σ = 29636436480. Its totient is φ = 3359683008.

The previous prime is 10202000099. The next prime is 10202000113. The reversal of 10202000112 is 21100020201.

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 = 10202000094 and 10202000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106408 + ... + 178119.

It is an arithmetic number, because the mean of its divisors is an integer number (370455456).

Almost surely, 2^10202000112 is an apocalyptic number.

10202000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202000112 is an abundant number, since it is smaller than the sum of its proper divisors (19434436368).

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

10202000112 is a wasteful number, since it uses less digits than its factorization.

10202000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284627 (or 284615 counting only the distinct ones).

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

Adding to 10202000112 its reverse (21100020201), we get a palindrome (31302020313).

The spelling of 10202000112 in words is "ten billion, two hundred two million, one hundred twelve", and thus it is an aban number.