1001020211040 has 48 divisors (see below), whose sum is σ = 3153213666288. Its totient is φ = 266938722816.

The previous prime is 1001020211039. The next prime is 1001020211047. The reversal of 1001020211040 is 401120201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1001020211040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020211047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1042728907 + ... + 1042729866.

It is an arithmetic number, because the mean of its divisors is an integer number (65691951381).

Almost surely, 2^{1001020211040} is an apocalyptic number.

1001020211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001020211040 is an abundant number, since it is smaller than the sum of its proper divisors (2152193455248).

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

1001020211040 is a wasteful number, since it uses less digits than its factorization.

1001020211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085458791 (or 2085458783 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001020211040 its reverse (401120201001), we get a palindrome (1402140412041).

The spelling of 1001020211040 in words is "one trillion, one billion, twenty million, two hundred eleven thousand, forty".