10101122121199 has 4 divisors (see below), whose sum is σ = 10101222378936. Its totient is φ = 10101021863464.

The previous prime is 10101122121193. The next prime is 10101122121217. The reversal of 10101122121199 is 99112122110101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10101122121199 - 2³¹ = 10098974637551 is a prime.

It is a super-4 number, since 4×10101122121199⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101122121199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101122121193) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49977589 + ... + 50179294.

It is an arithmetic number, because the mean of its divisors is an integer number (2525305594734).

Almost surely, 2^{10101122121199} is an apocalyptic number.

10101122121199 is a deficient number, since it is larger than the sum of its proper divisors (100257737).

10101122121199 is a wasteful number, since it uses less digits than its factorization.

10101122121199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100257736.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 10101122121199 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred ninety-nine".