10201112010 has 96 divisors (see below), whose sum is σ = 27904483152. Its totient is φ = 2582184960.

The previous prime is 10201111993. The next prime is 10201112023. The reversal of 10201112010 is 1021110201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3975428601 + 6225683409 = 63051^2 + 78903^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10201111983 and 10201112001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 99172 + ... + 173888.

Almost surely, 2^10201112010 is an apocalyptic number.

10201112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952241576).

10201112010 is an abundant number, since it is smaller than the sum of its proper divisors (17703371142).

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

10201112010 is a wasteful number, since it uses less digits than its factorization.

10201112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74808 (or 74805 counting only the distinct ones).

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

Adding to 10201112010 its reverse (1021110201), we get a palindrome (11222222211).

It can be divided in two parts, 1020111 and 2010, that added together give a square (1022121 = 1011²).

The spelling of 10201112010 in words is "ten billion, two hundred one million, one hundred twelve thousand, ten".