10221010041040 has 20 divisors (see below), whose sum is σ = 23763848345604. Its totient is φ = 4088404016384.

The previous prime is 10221010041031. The next prime is 10221010041059. The reversal of 10221010041040 is 4014001012201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1752584117904 + 8468425923136 = 1323852^2 + 2910056^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×10221010041040³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63881312677 + ... + 63881312836.

Almost surely, 2^{10221010041040} is an apocalyptic number.

10221010041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221010041040 is an abundant number, since it is smaller than the sum of its proper divisors (13542838304564).

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

10221010041040 is a wasteful number, since it uses less digits than its factorization.

10221010041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127762625526 (or 127762625520 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221010041040 its reverse (4014001012201), we get a palindrome (14235011053241).

The spelling of 10221010041040 in words is "ten trillion, two hundred twenty-one billion, ten million, forty-one thousand, forty".