101001223312 has 80 divisors (see below), whose sum is σ = 216462020544. Its totient is φ = 45272000000.

The previous prime is 101001223307. The next prime is 101001223339. The reversal of 101001223312 is 213322100101.

It is a super-2 number, since 2×101001223312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4450458 + ... + 4473094.

Almost surely, 2^101001223312 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 101001223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108231010272).

101001223312 is an abundant number, since it is smaller than the sum of its proper divisors (115460797232).

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

101001223312 is a wasteful number, since it uses less digits than its factorization.

101001223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23008 (or 23002 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101001223312 its reverse (213322100101), we get a palindrome (314323323413).

The spelling of 101001223312 in words is "one hundred one billion, one million, two hundred twenty-three thousand, three hundred twelve".