33122010102000 has 80 divisors (see below), whose sum is σ = 106785360588192. Its totient is φ = 8832536025600.

The previous prime is 33122010101989. The next prime is 33122010102047. The reversal of 33122010102000 is 20101022133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2760161509 + ... + 2760173508.

Almost surely, 2^{33122010102000} is an apocalyptic number.

33122010102000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33122010102000 is an abundant number, since it is smaller than the sum of its proper divisors (73663350486192).

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

33122010102000 is a wasteful number, since it uses less digits than its factorization.

33122010102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520335043 (or 5520335027 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33122010102000 its reverse (20101022133), we get a palindrome (33142111124133).

The spelling of 33122010102000 in words is "thirty-three trillion, one hundred twenty-two billion, ten million, one hundred two thousand".