102110022144144 has 240 divisors, whose sum is σ = 345818437810560. Its totient is φ = 27456785879040.

The previous prime is 102110022144049. The next prime is 102110022144211. The reversal of 102110022144144 is 441441220011201.

102110022144144 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 0 + 0 + 221 + 4 + 414 + 4 = 666.

It is a super-2 number, since 2×102110022144144² (a number of 29 digits) contains 22 as substring.

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, 369811099 + ... + 370087109.

It is an arithmetic number, because the mean of its divisors is an integer number (1440910157544).

Almost surely, 2^{102110022144144} is an apocalyptic number.

102110022144144 is a gapful number since it is divisible by the number (14) 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 102110022144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172909218905280).

102110022144144 is an abundant number, since it is smaller than the sum of its proper divisors (243708415666416).

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

102110022144144 is a wasteful number, since it uses less digits than its factorization.

102110022144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297638 (or 297629 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 102110022144144 its reverse (441441220011201), we get a palindrome (543551242155345).

The spelling of 102110022144144 in words is "one hundred two trillion, one hundred ten billion, twenty-two million, one hundred forty-four thousand, one hundred forty-four".