102100201119 has 96 divisors (see below), whose sum is σ = 172658304000. Its totient is φ = 56942341632.

The previous prime is 102100201103. The next prime is 102100201193. The reversal of 102100201119 is 911102001201.

It is a happy number.

It is not a de Polignac number, because 102100201119 - 2⁴ = 102100201103 is a prime.

It is a super-2 number, since 2×102100201119² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100201019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209651094 + ... + 209651580.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524000).

Almost surely, 2^102100201119 is an apocalyptic number.

102100201119 is a deficient number, since it is larger than the sum of its proper divisors (70558102881).

102100201119 is a wasteful number, since it uses less digits than its factorization.

102100201119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 102100201119 in words is "one hundred two billion, one hundred million, two hundred one thousand, one hundred nineteen".