101100121199 has 64 divisors (see below), whose sum is σ = 129749796864. Its totient is φ = 76507200000.

The previous prime is 101100121153. The next prime is 101100121207. The reversal of 101100121199 is 991121001101.

It is not a de Polignac number, because 101100121199 - 2²⁸ = 100831685743 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100129199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152949929 + ... + 152950589.

It is an arithmetic number, because the mean of its divisors is an integer number (2027340576).

Almost surely, 2^101100121199 is an apocalyptic number.

101100121199 is a deficient number, since it is larger than the sum of its proper divisors (28649675665).

101100121199 is a wasteful number, since it uses less digits than its factorization.

101100121199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 101100121199 in words is "one hundred one billion, one hundred million, one hundred twenty-one thousand, one hundred ninety-nine".