1000421311021 has 64 divisors (see below), whose sum is σ = 1218432015360. Its totient is φ = 810980352000.

The previous prime is 1000421310991. The next prime is 1000421311027. The reversal of 1000421311021 is 1201131240001.

1000421311021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1000421311021 - 2⁹ = 1000421310509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000421310986 and 1000421311004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000421311027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36933735 + ... + 36960811.

It is an arithmetic number, because the mean of its divisors is an integer number (19038000240).

Almost surely, 2^{1000421311021} is an apocalyptic number.

1000421311021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000421311021 is a deficient number, since it is larger than the sum of its proper divisors (218010704339).

1000421311021 is a wasteful number, since it uses less digits than its factorization.

1000421311021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27286.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1000421311021 its reverse (1201131240001), we get a palindrome (2201552551022).

The spelling of 1000421311021 in words is "one trillion, four hundred twenty-one million, three hundred eleven thousand, twenty-one".