101223031968 has 96 divisors (see below), whose sum is σ = 295332851520. Its totient is φ = 33729696000.

The previous prime is 101223031967. The next prime is 101223032063. The reversal of 101223031968 is 869130322101.

101223031968 is a `hidden beast` number, since 101 + 2 + 230 + 319 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101223031968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101223031967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790846 + ... + 2826882.

It is an arithmetic number, because the mean of its divisors is an integer number (3076383870).

Almost surely, 2^101223031968 is an apocalyptic number.

101223031968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101223031968 is an abundant number, since it is smaller than the sum of its proper divisors (194109819552).

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

101223031968 is a wasteful number, since it uses less digits than its factorization.

101223031968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39307 (or 39293 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 101223031968 in words is "one hundred one billion, two hundred twenty-three million, thirty-one thousand, nine hundred sixty-eight".