101121000032 has 96 divisors (see below), whose sum is σ = 218130976224. Its totient is φ = 45859737600.

The previous prime is 101120999999. The next prime is 101121000053. The reversal of 101121000032 is 230000121101.

It is a junction number, because it is equal to n+sod(n) for n = 101120999977 and 101121000022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44330732 + ... + 44333012.

It is an arithmetic number, because the mean of its divisors is an integer number (2272197669).

Almost surely, 2^101121000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109065488112).

101121000032 is an abundant number, since it is smaller than the sum of its proper divisors (117009976192).

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

101121000032 is a wasteful number, since it uses less digits than its factorization.

101121000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101121000032 its reverse (230000121101), we get a palindrome (331121121133).

The spelling of 101121000032 in words is "one hundred one billion, one hundred twenty-one million, thirty-two", and thus it is an aban number.