101033102103330 has 128 divisors (see below), whose sum is σ = 254815828992000. Its totient is φ = 25588592561664.

The previous prime is 101033102103319. The next prime is 101033102103371. The reversal of 101033102103330 is 33301201330101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101033102103297 and 101033102103306.

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 63 ways as a sum of consecutive naturals, for example, 66114526 + ... + 67625414.

It is an arithmetic number, because the mean of its divisors is an integer number (1990748664000).

Almost surely, 2^{101033102103330} is an apocalyptic number.

101033102103330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101033102103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127407914496000).

101033102103330 is an abundant number, since it is smaller than the sum of its proper divisors (153782726888670).

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

101033102103330 is a wasteful number, since it uses less digits than its factorization.

101033102103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511608.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 101033102103330 its reverse (33301201330101), we get a palindrome (134334303433431).

The spelling of 101033102103330 in words is "one hundred one trillion, thirty-three billion, one hundred two million, one hundred three thousand, three hundred thirty".