100212102121277 has 2 divisors, whose sum is σ = 100212102121278. Its totient is φ = 100212102121276.

The previous prime is 100212102121253. The next prime is 100212102121297. The reversal of 100212102121277 is 772121201212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94410391683001 + 5801710438276 = 9716501^2 + 2408674^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212102121277 - 2³⁰ = 100211028379453 is a prime.

It is a super-2 number, since 2×100212102121277² (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 (100212102121237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106051060638 + 50106051060639.

It is an arithmetic number, because the mean of its divisors is an integer number (50106051060639).

Almost surely, 2^{100212102121277} is an apocalyptic number.

It is an amenable number.

100212102121277 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212102121277 is an equidigital number, since it uses as much as digits as its factorization.

100212102121277 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1568, while the sum is 29.

Adding to 100212102121277 its reverse (772121201212001), we get a palindrome (872333303333278).

The spelling of 100212102121277 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred twenty-one thousand, two hundred seventy-seven".