101033032123220 has 96 divisors (see below), whose sum is σ = 225697123491840. Its totient is φ = 37858811863040.

The previous prime is 101033032123183. The next prime is 101033032123307. The reversal of 101033032123220 is 22321230330101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171245372 + ... + 171834348.

It is an arithmetic number, because the mean of its divisors is an integer number (2351011703040).

Almost surely, 2^{101033032123220} is an apocalyptic number.

101033032123220 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 101033032123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112848561745920).

101033032123220 is an abundant number, since it is smaller than the sum of its proper divisors (124664091368620).

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

101033032123220 is a wasteful number, since it uses less digits than its factorization.

101033032123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591353 (or 591351 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 101033032123220 its reverse (22321230330101), we get a palindrome (123354262453321).

The spelling of 101033032123220 in words is "one hundred one trillion, thirty-three billion, thirty-two million, one hundred twenty-three thousand, two hundred twenty".