100210012002101 has 2 divisors, whose sum is σ = 100210012002102. Its totient is φ = 100210012002100.

The previous prime is 100210012002059. The next prime is 100210012002143. The reversal of 100210012002101 is 101200210012001.

It is a balanced prime because it is at equal distance from previous prime (100210012002059) and next prime (100210012002143).

It can be written as a sum of positive squares in only one way, i.e., 56203359672100 + 44006652330001 = 7496890^2 + 6633751^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210012002101 - 2²² = 100210007807797 is a prime.

It is a super-2 number, since 2×100210012002101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210012002701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105006001050 + 50105006001051.

It is an arithmetic number, because the mean of its divisors is an integer number (50105006001051).

Almost surely, 2^{100210012002101} is an apocalyptic number.

It is an amenable number.

100210012002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210012002101 is an equidigital number, since it uses as much as digits as its factorization.

100210012002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100210012002101 its reverse (101200210012001), we get a palindrome (201410222014102).

The spelling of 100210012002101 in words is "one hundred trillion, two hundred ten billion, twelve million, two thousand, one hundred one".