102133212 has 48 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 31735552.

The previous prime is 102133211. The next prime is 102133217. The reversal of 102133212 is 212331201.

It is a junction number, because it is equal to n+sod(n) for n = 102133191 and 102133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19489 + ... + 24167.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^102133212 is an apocalyptic number.

102133212 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 102133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

102133212 is an abundant number, since it is smaller than the sum of its proper divisors (152608548).

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

102133212 is a wasteful number, since it uses less digits than its factorization.

102133212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102133212 is about 10106.0977632319. The cubic root of 102133212 is about 467.4361863960.

Adding to 102133212 its reverse (212331201), we get a palindrome (314464413).

The spelling of 102133212 in words is "one hundred two million, one hundred thirty-three thousand, two hundred twelve".