101123223201 has 192 divisors, whose sum is σ = 205430480640. Its totient is φ = 48326906880.

The previous prime is 101123223197. The next prime is 101123223241. The reversal of 101123223201 is 102322321101.

101123223201 is a `hidden beast` number, since 10 + 1 + 12 + 322 + 320 + 1 = 666.

It is not a de Polignac number, because 101123223201 - 2² = 101123223197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101123223241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70566781 + ... + 70568213.

It is an arithmetic number, because the mean of its divisors is an integer number (1069950420).

Almost surely, 2^101123223201 is an apocalyptic number.

101123223201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101123223201 is an abundant number, since it is smaller than the sum of its proper divisors (104307257439).

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

101123223201 is a wasteful number, since it uses less digits than its factorization.

101123223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1840 counting only the distinct ones).

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

Adding to 101123223201 its reverse (102322321101), we get a palindrome (203445544302).

It can be divided in two parts, 10 and 1123223201, that added together give a palindrome (1123223211).

The spelling of 101123223201 in words is "one hundred one billion, one hundred twenty-three million, two hundred twenty-three thousand, two hundred one".