1010201001021 has 24 divisors (see below), whose sum is σ = 1479485839416. Its totient is φ = 664099015680.

The previous prime is 1010201001001. The next prime is 1010201001031. The reversal of 1010201001021 is 1201001020101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 127138599225 + 883062401796 = 356565^2 + 939714^2 .

It is not a de Polignac number, because 1010201001021 - 2⁶ = 1010201000957 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 = 1010201000994 and 1010201001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010201001001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2938851 + ... + 3264543.

It is an arithmetic number, because the mean of its divisors is an integer number (61645243309).

Almost surely, 2^{1010201001021} is an apocalyptic number.

It is an amenable number.

1010201001021 is a deficient number, since it is larger than the sum of its proper divisors (469284838395).

1010201001021 is a wasteful number, since it uses less digits than its factorization.

1010201001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330493 (or 330490 counting only the distinct ones).

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

Adding to 1010201001021 its reverse (1201001020101), we get a palindrome (2211202021122).

The spelling of 1010201001021 in words is "one trillion, ten billion, two hundred one million, one thousand, twenty-one".