101253032100 has 288 divisors, whose sum is σ = 358370812800. Its totient is φ = 24320217600.

The previous prime is 101253032093. The next prime is 101253032123. The reversal of 101253032100 is 1230352101.

101253032100 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 530 + 32 + 100 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3221662 + ... + 3252938.

It is an arithmetic number, because the mean of its divisors is an integer number (1244343100).

Almost surely, 2^101253032100 is an apocalyptic number.

101253032100 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 101253032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179185406400).

101253032100 is an abundant number, since it is smaller than the sum of its proper divisors (257117780700).

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

101253032100 is a wasteful number, since it uses less digits than its factorization.

101253032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31420 (or 31407 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 101253032100 its reverse (1230352101), we get a palindrome (102483384201).

The spelling of 101253032100 in words is "one hundred one billion, two hundred fifty-three million, thirty-two thousand, one hundred".