101221023312 has 30 divisors (see below), whose sum is σ = 283278280922. Its totient is φ = 33740341056.

The previous prime is 101221023251. The next prime is 101221023329. The reversal of 101221023312 is 213320122101.

It can be written as a sum of positive squares in only one way, i.e., 93467164176 + 7753859136 = 305724^2 + 88056^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 351461743 + ... + 351462030.

Almost surely, 2^101221023312 is an apocalyptic number.

101221023312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221023312 is an abundant number, since it is smaller than the sum of its proper divisors (182057257610).

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

101221023312 is a wasteful number, since it uses less digits than its factorization.

101221023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702923787 (or 702923778 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101221023312 its reverse (213320122101), we get a palindrome (314541145413).

The spelling of 101221023312 in words is "one hundred one billion, two hundred twenty-one million, twenty-three thousand, three hundred twelve".