101211005312 has 64 divisors (see below), whose sum is σ = 210591219600. Its totient is φ = 48403113984.

The previous prime is 101211005303. The next prime is 101211005327. The reversal of 101211005312 is 213500112101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 98318 + ... + 460530.

Almost surely, 2^101211005312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105295609800).

101211005312 is an abundant number, since it is smaller than the sum of its proper divisors (109380214288).

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

101211005312 is an equidigital number, since it uses as much as digits as its factorization.

101211005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362323 (or 362311 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 101211005312 its reverse (213500112101), we get a palindrome (314711117413).

The spelling of 101211005312 in words is "one hundred one billion, two hundred eleven million, five thousand, three hundred twelve".