101032033010100 has 144 divisors (see below), whose sum is σ = 312253673735808. Its totient is φ = 25132660367360.

The previous prime is 101032033010087. The next prime is 101032033010119. The reversal of 101032033010100 is 1010330230101.

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 101032033010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87079464 + ... + 88232063.

It is an arithmetic number, because the mean of its divisors is an integer number (2168428289832).

Almost surely, 2^{101032033010100} is an apocalyptic number.

101032033010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101032033010100 is an abundant number, since it is smaller than the sum of its proper divisors (211221640725708).

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

101032033010100 is a wasteful number, since it uses less digits than its factorization.

101032033010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175311674 (or 175311667 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101032033010100 its reverse (1010330230101), we get a palindrome (102042363240201).

The spelling of 101032033010100 in words is "one hundred one trillion, thirty-two billion, thirty-three million, ten thousand, one hundred".