101323121100 has 144 divisors (see below), whose sum is σ = 294711033120. Its totient is φ = 26877081600.

The previous prime is 101323121041. The next prime is 101323121111. The reversal of 101323121100 is 1121323101.

It is a happy number.

101323121100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101323121100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89745336 + ... + 89746464.

Almost surely, 2^101323121100 is an apocalyptic number.

101323121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101323121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147355516560).

101323121100 is an abundant number, since it is smaller than the sum of its proper divisors (193387912020).

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

101323121100 is a wasteful number, since it uses less digits than its factorization.

101323121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101323121100 its reverse (1121323101), we get a palindrome (102444444201).

The spelling of 101323121100 in words is "one hundred one billion, three hundred twenty-three million, one hundred twenty-one thousand, one hundred".