101332121000000 has 784 divisors, whose sum is σ = 293201464473216. Its totient is φ = 34337280000000.

The previous prime is 101332120999987. The next prime is 101332121000003. The reversal of 101332121000000 is 121233101.

It is not an unprimeable number, because it can be changed into a prime (101332121000003) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19260997370 + ... + 19261002630.

Almost surely, 2^{101332121000000} is an apocalyptic number.

101332121000000 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 101332121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146600732236608).

101332121000000 is an abundant number, since it is smaller than the sum of its proper divisors (191869343473216).

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

101332121000000 is an equidigital number, since it uses as much as digits as its factorization.

101332121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5434 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101332121000000 its reverse (121233101), we get a palindrome (101332242233101).

The spelling of 101332121000000 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred twenty-one million", and thus it is an aban number.