102011133312 has 192 divisors, whose sum is σ = 320964930000. Its totient is φ = 30841896960.

The previous prime is 102011133311. The next prime is 102011133319. The reversal of 102011133312 is 213331110201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×102011133312³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011133311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5680764 + ... + 5698692.

Almost surely, 2^102011133312 is an apocalyptic number.

102011133312 is a gapful number since it is divisible by the number (12) 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 102011133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160482465000).

102011133312 is an abundant number, since it is smaller than the sum of its proper divisors (218953796688).

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

102011133312 is a wasteful number, since it uses less digits than its factorization.

102011133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18409 (or 18394 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102011133312 its reverse (213331110201), we get a palindrome (315342243513).

The spelling of 102011133312 in words is "one hundred two billion, eleven million, one hundred thirty-three thousand, three hundred twelve".