101211312 has 40 divisors (see below), whose sum is σ = 262209904. Its totient is φ = 33640704.

The previous prime is 101211307. The next prime is 101211343. The reversal of 101211312 is 213112101.

It is a super-2 number, since 2×101211312² = 20487459353522688, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 15078 + ... + 20730.

Almost surely, 2^101211312 is an apocalyptic number.

101211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211312 is an abundant number, since it is smaller than the sum of its proper divisors (160998592).

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

101211312 is a wasteful number, since it uses less digits than its factorization.

101211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6031 counting only the distinct ones).

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

The square root of 101211312 is about 10060.3832928969. The cubic root of 101211312 is about 466.0255040779.

Adding to 101211312 its reverse (213112101), we get a palindrome (314323413).

The spelling of 101211312 in words is "one hundred one million, two hundred eleven thousand, three hundred twelve".