1002021101001 has 6 divisors (see below), whose sum is σ = 1447363812570. Its totient is φ = 668014067328.

The previous prime is 1002021100979. The next prime is 1002021101017. The reversal of 1002021101001 is 1001011202001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 912596179401 + 89424921600 = 955299^2 + 299040^2 .

It is not a de Polignac number, because 1002021101001 - 2⁶ = 1002021100937 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: 111335677889 = 1002021101001 / (1 + 0 + 0 + 2 + 0 + 2 + 1 + 1 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1002021101041) 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, 55667838936 + ... + 55667838953.

It is an arithmetic number, because the mean of its divisors is an integer number (241227302095).

Almost surely, 2^{1002021101001} is an apocalyptic number.

It is an amenable number.

1002021101001 is a deficient number, since it is larger than the sum of its proper divisors (445342711569).

1002021101001 is a wasteful number, since it uses less digits than its factorization.

1002021101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111335677895 (or 111335677892 counting only the distinct ones).

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

Adding to 1002021101001 its reverse (1001011202001), we get a palindrome (2003032303002).

The spelling of 1002021101001 in words is "one trillion, two billion, twenty-one million, one hundred one thousand, one".