10010002102101 has 6 divisors (see below), whose sum is σ = 14458891925270. Its totient is φ = 6673334734728.

The previous prime is 10010002102039. The next prime is 10010002102117. The reversal of 10010002102101 is 10120120001001.

It is a happy number.

10010002102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6704987181201 + 3305014920900 = 2589399^2 + 1817970^2 .

It is not a de Polignac number, because 10010002102101 - 2³⁷ = 9872563148629 is a prime.

It is a super-2 number, since 2×10010002102101² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1112222455789 = 10010002102101 / (1 + 0 + 0 + 1 + 0 + 0 + 0 + 2 + 1 + 0 + 2 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010002102201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556111227886 + ... + 556111227903.

Almost surely, 2^{10010002102101} is an apocalyptic number.

It is an amenable number.

10010002102101 is a deficient number, since it is larger than the sum of its proper divisors (4448889823169).

10010002102101 is a wasteful number, since it uses less digits than its factorization.

10010002102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112222455795 (or 1112222455792 counting only the distinct ones).

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

Adding to 10010002102101 its reverse (10120120001001), we get a palindrome (20130122103102).

The spelling of 10010002102101 in words is "ten trillion, ten billion, two million, one hundred two thousand, one hundred one".