10100121199969 has 2 divisors, whose sum is σ = 10100121199970. Its totient is φ = 10100121199968.

The previous prime is 10100121199913. The next prime is 10100121200017. The reversal of 10100121199969 is 96999112100101.

10100121199969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7454472562944 + 2645648637025 = 2730288^2 + 1626545^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100121199969 - 2¹⁹ = 10100120675681 is a prime.

It is a super-2 number, since 2×10100121199969² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100121119969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060599984 + 5050060599985.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060599985).

Almost surely, 2^{10100121199969} is an apocalyptic number.

It is an amenable number.

10100121199969 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100121199969 is an equidigital number, since it uses as much as digits as its factorization.

10100121199969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78732, while the sum is 49.

The spelling of 10100121199969 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred ninety-nine thousand, nine hundred sixty-nine".