20211110102144 has 128 divisors (see below), whose sum is σ = 43933123718400. Its totient is φ = 9205371961344.

The previous prime is 20211110102143. The next prime is 20211110102243. The reversal of 20211110102144 is 44120101111202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20211110102144² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20211110102143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261164384 + ... + 261241760.

It is an arithmetic number, because the mean of its divisors is an integer number (343227529050).

Almost surely, 2^{20211110102144} 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 20211110102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21966561859200).

20211110102144 is an abundant number, since it is smaller than the sum of its proper divisors (23722013616256).

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

20211110102144 is a wasteful number, since it uses less digits than its factorization.

20211110102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79470 (or 79458 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 20211110102144 its reverse (44120101111202), we get a palindrome (64331211213346).

The spelling of 20211110102144 in words is "twenty trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand, one hundred forty-four".