100021012011001 has 2 divisors, whose sum is σ = 100021012011002. Its totient is φ = 100021012011000.

The previous prime is 100021012010971. The next prime is 100021012011061. The reversal of 100021012011001 is 100110210120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70193564985600 + 29827447025401 = 8378160^2 + 5461451^2 .

It is an emirp because it is prime and its reverse (100110210120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100021012011001 - 2¹⁹ = 100021011486713 is a prime.

It is a super-2 number, since 2×100021012011001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100021012011061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010506005500 + 50010506005501.

It is an arithmetic number, because the mean of its divisors is an integer number (50010506005501).

Almost surely, 2^{100021012011001} is an apocalyptic number.

It is an amenable number.

100021012011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021012011001 is an equidigital number, since it uses as much as digits as its factorization.

100021012011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100021012011001 its reverse (100110210120001), we get a palindrome (200131222131002).

The spelling of 100021012011001 in words is "one hundred trillion, twenty-one billion, twelve million, eleven thousand, one".