2011102314144 has 96 divisors (see below), whose sum is σ = 6581789415936. Its totient is φ = 522364235520.

The previous prime is 2011102314103. The next prime is 2011102314149. The reversal of 2011102314144 is 4414132011102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2011102314149) 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, 136024962 + ... + 136039745.

It is an arithmetic number, because the mean of its divisors is an integer number (68560306416).

Almost surely, 2^{2011102314144} is an apocalyptic number.

2011102314144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011102314144 is an abundant number, since it is smaller than the sum of its proper divisors (4570687101792).

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

2011102314144 is a wasteful number, since it uses less digits than its factorization.

2011102314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272064738 (or 272064730 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2011102314144 its reverse (4414132011102), we get a palindrome (6425234325246).

It can be divided in two parts, 2011102 and 314144, that added together give a triangular number (2325246 = T₂₁₅₆).

The spelling of 2011102314144 in words is "two trillion, eleven billion, one hundred two million, three hundred fourteen thousand, one hundred forty-four".