101102200101199 has 32 divisors (see below), whose sum is σ = 120152730286656. Its totient is φ = 84015485061120.

The previous prime is 101102200101179. The next prime is 101102200101211. The reversal of 101102200101199 is 991101002201101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101102200101199 - 2⁹ = 101102200100687 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 (101102200101179) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9263044 + ... + 16970809.

It is an arithmetic number, because the mean of its divisors is an integer number (3754772821458).

Almost surely, 2^{101102200101199} is an apocalyptic number.

101102200101199 is a deficient number, since it is larger than the sum of its proper divisors (19050530185457).

101102200101199 is a wasteful number, since it uses less digits than its factorization.

101102200101199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26234475.

The product of its (nonzero) digits is 324, while the sum is 28.

The spelling of 101102200101199 in words is "one hundred one trillion, one hundred two billion, two hundred million, one hundred one thousand, one hundred ninety-nine".