10102034242144 has 48 divisors (see below), whose sum is σ = 21418620314112. Its totient is φ = 4662397882368.

The previous prime is 10102034242127. The next prime is 10102034242151. The reversal of 10102034242144 is 44124243020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29274192 + ... + 29617264.

It is an arithmetic number, because the mean of its divisors is an integer number (446221256544).

Almost surely, 2^{10102034242144} is an apocalyptic number.

It is an amenable number.

10102034242144 is an abundant number, since it is smaller than the sum of its proper divisors (11316586071968).

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

10102034242144 is a wasteful number, since it uses less digits than its factorization.

10102034242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413879 (or 413871 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10102034242144 its reverse (44124243020101), we get a palindrome (54226277262245).

The spelling of 10102034242144 in words is "ten trillion, one hundred two billion, thirty-four million, two hundred forty-two thousand, one hundred forty-four".