1010201122021 has 48 divisors (see below), whose sum is σ = 1386175699440. Its totient is φ = 726323189760.

The previous prime is 1010201122019. The next prime is 1010201122027. The reversal of 1010201122021 is 1202211020101.

It can be written as a sum of positive squares in 8 ways, for example, as 2614788225 + 1007586333796 = 51135^2 + 1003786^2 .

It is not a de Polignac number, because 1010201122021 - 2¹ = 1010201122019 is a prime.

It is a super-2 number, since 2×1010201122021² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1010201121992 and 1010201122010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010201122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294350 + ... + 1922431.

It is an arithmetic number, because the mean of its divisors is an integer number (28878660405).

Almost surely, 2^{1010201122021} is an apocalyptic number.

It is an amenable number.

1010201122021 is a deficient number, since it is larger than the sum of its proper divisors (375974577419).

1010201122021 is a wasteful number, since it uses less digits than its factorization.

1010201122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216854 (or 3216847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010201122021 its reverse (1202211020101), we get a palindrome (2212412142122).

The spelling of 1010201122021 in words is "one trillion, ten billion, two hundred one million, one hundred twenty-two thousand, twenty-one".