10202200112 has 80 divisors (see below), whose sum is σ = 21492999360. Its totient is φ = 4691202048.

The previous prime is 10202200103. The next prime is 10202200121. The reversal of 10202200112 is 21100220201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10202200103) and next prime (10202200121).

It is a junction number, because it is equal to n+sod(n) for n = 10202200093 and 10202200102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17681168 + ... + 17681744.

It is an arithmetic number, because the mean of its divisors is an integer number (268662492).

Almost surely, 2^10202200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746499680).

10202200112 is an abundant number, since it is smaller than the sum of its proper divisors (11290799248).

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

10202200112 is an equidigital number, since it uses as much as digits as its factorization.

10202200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202200112 its reverse (21100220201), we get a palindrome (31302420313).

The spelling of 10202200112 in words is "ten billion, two hundred two million, two hundred thousand, one hundred twelve".