102112131101 has 8 divisors (see below), whose sum is σ = 105654076320. Its totient is φ = 98571575088.

The previous prime is 102112131071. The next prime is 102112131119. The reversal of 102112131101 is 101131211201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102112131101 - 2¹⁰ = 102112130077 is a prime.

It is a super-2 number, since 2×102112131101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112130101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196631 + ... + 492836.

It is an arithmetic number, because the mean of its divisors is an integer number (13206759540).

Almost surely, 2^102112131101 is an apocalyptic number.

It is an amenable number.

102112131101 is a deficient number, since it is larger than the sum of its proper divisors (3541945219).

102112131101 is an equidigital number, since it uses as much as digits as its factorization.

102112131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694603.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 102112131101 its reverse (101131211201), we get a palindrome (203243342302).

The spelling of 102112131101 in words is "one hundred two billion, one hundred twelve million, one hundred thirty-one thousand, one hundred one".