101330030020100 has 144 divisors (see below), whose sum is σ = 253537225662336. Its totient is φ = 34433586432000.

The previous prime is 101330030020081. The next prime is 101330030020123. The reversal of 101330030020100 is 1020030033101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34172354 + ... + 37019046.

Almost surely, 2^{101330030020100} is an apocalyptic number.

101330030020100 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 101330030020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126768612831168).

101330030020100 is an abundant number, since it is smaller than the sum of its proper divisors (152207195642236).

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

101330030020100 is a wasteful number, since it uses less digits than its factorization.

101330030020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847166 (or 2847159 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 101330030020100 its reverse (1020030033101), we get a palindrome (102350060053201).

The spelling of 101330030020100 in words is "one hundred one trillion, three hundred thirty billion, thirty million, twenty thousand, one hundred".