1001120201010 has 96 divisors (see below), whose sum is σ = 2675967869952. Its totient is φ = 259487141760.

The previous prime is 1001120200963. The next prime is 1001120201017. The reversal of 1001120201010 is 101020211001.

It is a happy number.

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 = 1001120200983 and 1001120201001.

It is not an unprimeable number, because it can be changed into a prime (1001120201017) 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, 3148347 + ... + 3451713.

It is an arithmetic number, because the mean of its divisors is an integer number (27874665312).

Almost surely, 2^{1001120201010} is an apocalyptic number.

1001120201010 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 1001120201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337983934976).

1001120201010 is an abundant number, since it is smaller than the sum of its proper divisors (1674847668942).

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

1001120201010 is a wasteful number, since it uses less digits than its factorization.

1001120201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304408 (or 304405 counting only the distinct ones).

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

Adding to 1001120201010 its reverse (101020211001), we get a palindrome (1102140412011).

Subtracting from 1001120201010 its reverse (101020211001), we obtain a palindrome (900099990009).

The spelling of 1001120201010 in words is "one trillion, one billion, one hundred twenty million, two hundred one thousand, ten".