101330003211000 has 384 divisors, whose sum is σ = 327556250049600. Its totient is φ = 26079295104000.

The previous prime is 101330003210981. The next prime is 101330003211049. The reversal of 101330003211000 is 112300033101.

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 95 ways as a sum of consecutive naturals, for example, 1075311886 + ... + 1075406114.

Almost surely, 2^{101330003211000} is an apocalyptic number.

101330003211000 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 101330003211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163778125024800).

101330003211000 is an abundant number, since it is smaller than the sum of its proper divisors (226226246838600).

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

101330003211000 is a wasteful number, since it uses less digits than its factorization.

101330003211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94688 (or 94643 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101330003211000 its reverse (112300033101), we get a palindrome (101442303244101).

The spelling of 101330003211000 in words is "one hundred one trillion, three hundred thirty billion, three million, two hundred eleven thousand".