10221021002101 has 48 divisors (see below), whose sum is σ = 12886404794928. Its totient is φ = 8035305062400.

The previous prime is 10221021002083. The next prime is 10221021002113. The reversal of 10221021002101 is 10120012012201.

It can be written as a sum of positive squares in 8 ways, for example, as 289390202500 + 9931630799601 = 537950^2 + 3151449^2 .

It is not a de Polignac number, because 10221021002101 - 2⁹ = 10221021001589 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221021002161) 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 47 ways as a sum of consecutive naturals, for example, 63105061 + ... + 63266821.

It is an arithmetic number, because the mean of its divisors is an integer number (268466766561).

Almost surely, 2^{10221021002101} is an apocalyptic number.

It is an amenable number.

10221021002101 is a deficient number, since it is larger than the sum of its proper divisors (2665383792827).

10221021002101 is a wasteful number, since it uses less digits than its factorization.

10221021002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162422 (or 162415 counting only the distinct ones).

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

Adding to 10221021002101 its reverse (10120012012201), we get a palindrome (20341033014302).

The spelling of 10221021002101 in words is "ten trillion, two hundred twenty-one billion, twenty-one million, two thousand, one hundred one".