10200114101 has 2 divisors, whose sum is σ = 10200114102. Its totient is φ = 10200114100.

The previous prime is 10200114091. The next prime is 10200114163. The reversal of 10200114101 is 10141100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8327475025 + 1872639076 = 91255^2 + 43274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200114101 is a prime.

It is a super-3 number, since 3×10200114101³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200114181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100057050 + 5100057051.

It is an arithmetic number, because the mean of its divisors is an integer number (5100057051).

Almost surely, 2^10200114101 is an apocalyptic number.

It is an amenable number.

10200114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200114101 is an equidigital number, since it uses as much as digits as its factorization.

10200114101 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 10200114101 its reverse (10141100201), we get a palindrome (20341214302).

The spelling of 10200114101 in words is "ten billion, two hundred million, one hundred fourteen thousand, one hundred one".