102102111144 has 128 divisors (see below), whose sum is σ = 312239664000. Its totient is φ = 30656102400.

The previous prime is 102102111077. The next prime is 102102111151. The reversal of 102102111144 is 441111201201.

It is a super-2 number, since 2×102102111144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61864 + ... + 456104.

It is an arithmetic number, because the mean of its divisors is an integer number (2439372375).

Almost surely, 2^102102111144 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 102102111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156119832000).

102102111144 is an abundant number, since it is smaller than the sum of its proper divisors (210137552856).

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

102102111144 is a wasteful number, since it uses less digits than its factorization.

102102111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394376 (or 394366 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102102111144 its reverse (441111201201), we get a palindrome (543213312345).

The spelling of 102102111144 in words is "one hundred two billion, one hundred two million, one hundred eleven thousand, one hundred forty-four".