10221002102101 has 16 divisors (see below), whose sum is σ = 11743727708160. Its totient is φ = 8713933240320.

The previous prime is 10221002102053. The next prime is 10221002102149. The reversal of 10221002102101 is 10120120012201.

It is an interprime number because it is at equal distance from previous prime (10221002102053) and next prime (10221002102149).

It is not a de Polignac number, because 10221002102101 - 2¹³ = 10221002093909 is a prime.

It is a super-3 number, since 3×10221002102101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221002108101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10660245 + ... + 11579413.

It is an arithmetic number, because the mean of its divisors is an integer number (733982981760).

Almost surely, 2^{10221002102101} is an apocalyptic number.

It is an amenable number.

10221002102101 is a deficient number, since it is larger than the sum of its proper divisors (1522725606059).

10221002102101 is an equidigital number, since it uses as much as digits as its factorization.

10221002102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927684.

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

Adding to 10221002102101 its reverse (10120120012201), we get a palindrome (20341122114302).

The spelling of 10221002102101 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred two thousand, one hundred one".