101021210000001 has 12 divisors (see below), whose sum is σ = 149863296517012. Its totient is φ = 65527271351136.

The previous prime is 101021209999973. The next prime is 101021210000003. The reversal of 101021210000001 is 100000012120101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57503769599376 + 43517440400625 = 7583124^2 + 6596775^2 .

It is not a de Polignac number, because 101021210000001 - 2¹⁵ = 101021209967233 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021210000003) 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 11 ways as a sum of consecutive naturals, for example, 151683498166 + ... + 151683498831.

Almost surely, 2^{101021210000001} is an apocalyptic number.

It is an amenable number.

101021210000001 is a deficient number, since it is larger than the sum of its proper divisors (48842086517011).

101021210000001 is a wasteful number, since it uses less digits than its factorization.

101021210000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303366997040 (or 303366997037 counting only the distinct ones).

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

Adding to 101021210000001 its reverse (100000012120101), we get a palindrome (201021222120102).

The spelling of 101021210000001 in words is "one hundred one trillion, twenty-one billion, two hundred ten million, one", and thus it is an aban number.