100021212011101 has 2 divisors, whose sum is σ = 100021212011102. Its totient is φ = 100021212011100.

The previous prime is 100021212011059. The next prime is 100021212011191. The reversal of 100021212011101 is 101110212120001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54130952175876 + 45890259835225 = 7357374^2 + 6774235^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021212011101 - 2¹⁵ = 100021211978333 is a prime.

It is a super-2 number, since 2×100021212011101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100021212011191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010606005550 + 50010606005551.

It is an arithmetic number, because the mean of its divisors is an integer number (50010606005551).

Almost surely, 2^{100021212011101} is an apocalyptic number.

It is an amenable number.

100021212011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021212011101 is an equidigital number, since it uses as much as digits as its factorization.

100021212011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100021212011101 its reverse (101110212120001), we get a palindrome (201131424131102).

The spelling of 100021212011101 in words is "one hundred trillion, twenty-one billion, two hundred twelve million, eleven thousand, one hundred one".