101131212 has 96 divisors (see below), whose sum is σ = 298396672. Its totient is φ = 25940736.

The previous prime is 101131201. The next prime is 101131237. The reversal of 101131212 is 212131101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39153 + ... + 41655.

Almost surely, 2^101131212 is an apocalyptic number.

101131212 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 101131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149198336).

101131212 is an abundant number, since it is smaller than the sum of its proper divisors (197265460).

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

101131212 is a wasteful number, since it uses less digits than its factorization.

101131212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2565 counting only the distinct ones).

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

The square root of 101131212 is about 10056.4015432957. The cubic root of 101131212 is about 465.9025320045.

Adding to 101131212 its reverse (212131101), we get a palindrome (313262313).

It can be divided in two parts, 10113 and 1212, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 101131212 in words is "one hundred one million, one hundred thirty-one thousand, two hundred twelve".