100021002020001 has 12 divisors (see below), whose sum is σ = 144846181165140. Its totient is φ = 66509252412000.

The previous prime is 100021002019963. The next prime is 100021002020059. The reversal of 100021002020001 is 100020200120001.

It can be written as a sum of positive squares in 2 ways, for example, as 19952078900625 + 80068923119376 = 4466775^2 + 8948124^2 .

It is not a de Polignac number, because 100021002020001 - 2¹⁸ = 100021001757857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100021002020081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14284629750 + ... + 14284636751.

It is an arithmetic number, because the mean of its divisors is an integer number (12070515097095).

Almost surely, 2^{100021002020001} is an apocalyptic number.

It is an amenable number.

100021002020001 is a deficient number, since it is larger than the sum of its proper divisors (44825179145139).

100021002020001 is a wasteful number, since it uses less digits than its factorization.

100021002020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28569266896 (or 28569266893 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100021002020001 its reverse (100020200120001), we get a palindrome (200041202140002).

The spelling of 100021002020001 in words is "one hundred trillion, twenty-one billion, two million, twenty thousand, one".