4102010133100 has 144 divisors (see below), whose sum is σ = 9925419732480. Its totient is φ = 1458991123200.

The previous prime is 4102010133061. The next prime is 4102010133101. The reversal of 4102010133100 is 13310102014.

It is a super-4 number, since 4×4102010133100⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4102010133101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9077722 + ... + 9518878.

It is an arithmetic number, because the mean of its divisors is an integer number (68926525920).

Almost surely, 2^{4102010133100} 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 4102010133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962709866240).

4102010133100 is an abundant number, since it is smaller than the sum of its proper divisors (5823409599380).

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

4102010133100 is a wasteful number, since it uses less digits than its factorization.

4102010133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441368 (or 441361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 4102010133100 its reverse (13310102014), we get a palindrome (4115320235114).

The spelling of 4102010133100 in words is "four trillion, one hundred two billion, ten million, one hundred thirty-three thousand, one hundred".