10100100102121 has 2 divisors, whose sum is σ = 10100100102122. Its totient is φ = 10100100102120.

The previous prime is 10100100102077. The next prime is 10100100102139. The reversal of 10100100102121 is 12120100100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7783430414400 + 2316669687721 = 2789880^2 + 1522061^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100102121 - 2¹¹ = 10100100100073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100100102098 and 10100100102107.

It is not a weakly prime, because it can be changed into another prime (10100100112121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050051060 + 5050050051061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050051061).

Almost surely, 2^{10100100102121} is an apocalyptic number.

It is an amenable number.

10100100102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100102121 is an equidigital number, since it uses as much as digits as its factorization.

10100100102121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100100102121 its reverse (12120100100101), we get a palindrome (22220200202222).

The spelling of 10100100102121 in words is "ten trillion, one hundred billion, one hundred million, one hundred two thousand, one hundred twenty-one".