1020000102021 has 6 divisors (see below), whose sum is σ = 1473333480710. Its totient is φ = 680000068008.

The previous prime is 1020000101987. The next prime is 1020000102053. The reversal of 1020000102021 is 1202010000201.

It can be written as a sum of positive squares in only one way, i.e., 947480304996 + 72519797025 = 973386^2 + 269295^2 .

It is not a de Polignac number, because 1020000102021 - 2⁶ = 1020000101957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 113333344669 = 1020000102021 / (1 + 0 + 2 + 0 + 0 + 0 + 0 + 1 + 0 + 2 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020000101994 and 1020000102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020000102061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56666672326 + ... + 56666672343.

Almost surely, 2^{1020000102021} is an apocalyptic number.

It is an amenable number.

1020000102021 is a deficient number, since it is larger than the sum of its proper divisors (453333378689).

1020000102021 is a wasteful number, since it uses less digits than its factorization.

1020000102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113333344675 (or 113333344672 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020000102021 its reverse (1202010000201), we get a palindrome (2222010102222).

The spelling of 1020000102021 in words is "one trillion, twenty billion, one hundred two thousand, twenty-one".