101321100 has 108 divisors (see below), whose sum is σ = 320962096. Its totient is φ = 26732160.

The previous prime is 101321093. The next prime is 101321117. The reversal of 101321100 is 1123101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92154 + ... + 93246.

Almost surely, 2^101321100 is an apocalyptic number.

101321100 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 101321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160481048).

101321100 is an abundant number, since it is smaller than the sum of its proper divisors (219640996).

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

101321100 is a wasteful number, since it uses less digits than its factorization.

101321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101321100 is about 10065.8382661356. The cubic root of 101321100 is about 466.1939487517.

Adding to 101321100 its reverse (1123101), we get a palindrome (102444201).

It can be divided in two parts, 101 and 321100, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 101321100 in words is "one hundred one million, three hundred twenty-one thousand, one hundred".