1010001120021 has 48 divisors (see below), whose sum is σ = 1516193522688. Its totient is φ = 647185593600.

The previous prime is 1010001119971. The next prime is 1010001120103. The reversal of 1010001120021 is 1200211000101.

It is a happy number.

It is not a de Polignac number, because 1010001120021 - 2¹³ = 1010001111829 is a prime.

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 = 1010001119985 and 1010001120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165002841 + ... + 165008961.

It is an arithmetic number, because the mean of its divisors is an integer number (31587365056).

Almost surely, 2^{1010001120021} is an apocalyptic number.

It is an amenable number.

1010001120021 is a deficient number, since it is larger than the sum of its proper divisors (506192402667).

1010001120021 is a wasteful number, since it uses less digits than its factorization.

1010001120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10082 (or 10079 counting only the distinct ones).

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

Adding to 1010001120021 its reverse (1200211000101), we get a palindrome (2210212120122).

The spelling of 1010001120021 in words is "one trillion, ten billion, one million, one hundred twenty thousand, twenty-one".