101120100991 has 16 divisors (see below), whose sum is σ = 124488258048. Its totient is φ = 79986060000.

The previous prime is 101120100947. The next prime is 101120101009. The reversal of 101120100991 is 199001021101.

It is not a de Polignac number, because 101120100991 - 2¹⁹ = 101119576703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120100391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206166 + ... + 494716.

It is an arithmetic number, because the mean of its divisors is an integer number (7780516128).

Almost surely, 2^101120100991 is an apocalyptic number.

101120100991 is a deficient number, since it is larger than the sum of its proper divisors (23368157057).

101120100991 is a wasteful number, since it uses less digits than its factorization.

101120100991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292422.

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 101120100991 in words is "one hundred one billion, one hundred twenty million, one hundred thousand, nine hundred ninety-one".