101102022111199 has 16 divisors (see below), whose sum is σ = 107621385933600. Its totient is φ = 94646493010944.

The previous prime is 101102022111187. The next prime is 101102022111203. The reversal of 101102022111199 is 991111220201101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102022111199 is a prime.

It is a super-2 number, since 2×101102022111199² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101102022111199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102022111149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8484907 + ... + 16558915.

It is an arithmetic number, because the mean of its divisors is an integer number (6726336620850).

Almost surely, 2^{101102022111199} is an apocalyptic number.

101102022111199 is a deficient number, since it is larger than the sum of its proper divisors (6519363822401).

101102022111199 is a wasteful number, since it uses less digits than its factorization.

101102022111199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8077962.

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

The spelling of 101102022111199 in words is "one hundred one trillion, one hundred two billion, twenty-two million, one hundred eleven thousand, one hundred ninety-nine".