102112721136 has 240 divisors, whose sum is σ = 307910054400. Its totient is φ = 31488694272.

The previous prime is 102112721107. The next prime is 102112721147. The reversal of 102112721136 is 631127211201.

It is a super-2 number, since 2×102112721136² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101201400 + ... + 101202408.

It is an arithmetic number, because the mean of its divisors is an integer number (1282958560).

Almost surely, 2^102112721136 is an apocalyptic number.

102112721136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112721136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153955027200).

102112721136 is an abundant number, since it is smaller than the sum of its proper divisors (205797333264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102112721136 is a wasteful number, since it uses less digits than its factorization.

102112721136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 102112721136 its reverse (631127211201), we get a palindrome (733239932337).

The spelling of 102112721136 in words is "one hundred two billion, one hundred twelve million, seven hundred twenty-one thousand, one hundred thirty-six".