10211611444100 has 144 divisors (see below), whose sum is σ = 25452508435200. Its totient is φ = 3516971472000.

The previous prime is 10211611444061. The next prime is 10211611444129. The reversal of 10211611444100 is 144411611201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211611444100.

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, 83936315 + ... + 84057885.

It is an arithmetic number, because the mean of its divisors is an integer number (176753530800).

Almost surely, 2^{10211611444100} is an apocalyptic number.

10211611444100 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 10211611444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726254217600).

10211611444100 is an abundant number, since it is smaller than the sum of its proper divisors (15240896991100).

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

10211611444100 is a wasteful number, since it uses less digits than its factorization.

10211611444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125634 (or 125627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 10211611444100 in words is "ten trillion, two hundred eleven billion, six hundred eleven million, four hundred forty-four thousand, one hundred".