1020101010021 has 12 divisors (see below), whose sum is σ = 1537543551648. Its totient is φ = 650499194664.

The previous prime is 1020101010001. The next prime is 1020101010043. The reversal of 1020101010021 is 1200101010201.

It is a happy number.

It is not a de Polignac number, because 1020101010021 - 2¹⁵ = 1020100977253 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 = 1020101009985 and 1020101010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101010001) 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 11 ways as a sum of consecutive naturals, for example, 2464011895 + ... + 2464012308.

It is an arithmetic number, because the mean of its divisors is an integer number (128128629304).

Almost surely, 2^{1020101010021} is an apocalyptic number.

It is an amenable number.

1020101010021 is a deficient number, since it is larger than the sum of its proper divisors (517442541627).

1020101010021 is a wasteful number, since it uses less digits than its factorization.

1020101010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928024232 (or 4928024229 counting only the distinct ones).

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

Adding to 1020101010021 its reverse (1200101010201), we get a palindrome (2220202020222).

The spelling of 1020101010021 in words is "one trillion, twenty billion, one hundred one million, ten thousand, twenty-one".