1020001000021 has 16 divisors (see below), whose sum is σ = 1079829150400. Its totient is φ = 960789340800.

The previous prime is 1020000999989. The next prime is 1020001000043. The reversal of 1020001000021 is 1200001000201.

It is a cyclic number.

It is not a de Polignac number, because 1020001000021 - 2⁵ = 1020000999989 is a prime.

It is a super-3 number, since 3×1020001000021³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020000999968 and 1020001000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001000121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19373110 + ... + 19425688.

It is an arithmetic number, because the mean of its divisors is an integer number (67489321900).

Almost surely, 2^{1020001000021} is an apocalyptic number.

It is an amenable number.

1020001000021 is a deficient number, since it is larger than the sum of its proper divisors (59828150379).

1020001000021 is a wasteful number, since it uses less digits than its factorization.

1020001000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58420.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1020001000021 its reverse (1200001000201), we get a palindrome (2220002000222).

The spelling of 1020001000021 in words is "one trillion, twenty billion, one million, twenty-one", and thus it is an aban number and an uban number.