202102121001001 has 8 divisors (see below), whose sum is σ = 218207945559240. Its totient is φ = 186076226093952.

The previous prime is 202102121000959. The next prime is 202102121001049. The reversal of 202102121001001 is 100100121201202.

It can be written as a sum of positive squares in 4 ways, for example, as 17842547776 + 202084278453225 = 133576^2 + 14215635^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 202102121001001 - 2²⁷ = 202101986783273 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (202102121001601) 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 7 ways as a sum of consecutive naturals, for example, 19982407540 + ... + 19982417653.

It is an arithmetic number, because the mean of its divisors is an integer number (27275993194905).

Almost surely, 2^{202102121001001} is an apocalyptic number.

It is an amenable number.

202102121001001 is a deficient number, since it is larger than the sum of its proper divisors (16105824558239).

202102121001001 is a wasteful number, since it uses less digits than its factorization.

202102121001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39964825595.

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

Adding to 202102121001001 its reverse (100100121201202), we get a palindrome (302202242202203).

The spelling of 202102121001001 in words is "two hundred two trillion, one hundred two billion, one hundred twenty-one million, one thousand, one".