101211132 has 192 divisors, whose sum is σ = 297851904. Its totient is φ = 26357760.

The previous prime is 101211059. The next prime is 101211151. The reversal of 101211132 is 231112101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909618 + ... + 1909670.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 2^101211132 is an apocalyptic number.

101211132 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 101211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

101211132 is an abundant number, since it is smaller than the sum of its proper divisors (196640772).

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

101211132 is a wasteful number, since it uses less digits than its factorization.

101211132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

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

The square root of 101211132 is about 10060.3743469117. The cubic root of 101211132 is about 466.0252278089.

Adding to 101211132 its reverse (231112101), we get a palindrome (332323233).

The spelling of 101211132 in words is "one hundred one million, two hundred eleven thousand, one hundred thirty-two".