10001120201010 has 96 divisors (see below), whose sum is σ = 26296739417520. Its totient is φ = 2636833081344.

The previous prime is 10001120200969. The next prime is 10001120201011. The reversal of 10001120201010 is 1010202110001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5843228094729 + 4157892106281 = 2417277^2 + 2039091^2 .

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 = 10001120200983 and 10001120201001.

It is not an unprimeable number, because it can be changed into a prime (10001120201011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176007364 + ... + 176064176.

Almost surely, 2^{10001120201010} is an apocalyptic number.

10001120201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001120201010 is an abundant number, since it is smaller than the sum of its proper divisors (16295619216510).

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

10001120201010 is a wasteful number, since it uses less digits than its factorization.

10001120201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78892 (or 78889 counting only the distinct ones).

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

Adding to 10001120201010 its reverse (1010202110001), we get a palindrome (11011322311011).

The spelling of 10001120201010 in words is "ten trillion, one billion, one hundred twenty million, two hundred one thousand, ten".