10210100100107 has 4 divisors (see below), whose sum is σ = 10210107825720. Its totient is φ = 10210092374496.

The previous prime is 10210100100097. The next prime is 10210100100119. The reversal of 10210100100107 is 70100100101201.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10210100100107 - 2²⁰ = 10210099051531 is a prime.

It is a super-2 number, since 2×10210100100107² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10210100100091 and 10210100100100.

It is not an unprimeable number, because it can be changed into a prime (10210100100127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1324382 + ... + 4708947.

It is an arithmetic number, because the mean of its divisors is an integer number (2552526956430).

Almost surely, 2^{10210100100107} is an apocalyptic number.

10210100100107 is a deficient number, since it is larger than the sum of its proper divisors (7725613).

10210100100107 is an equidigital number, since it uses as much as digits as its factorization.

10210100100107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725612.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 10210100100107 its reverse (70100100101201), we get a palindrome (80310200201308).

The spelling of 10210100100107 in words is "ten trillion, two hundred ten billion, one hundred million, one hundred thousand, one hundred seven".