101434214434144 has 24 divisors (see below), whose sum is σ = 199703939740200. Its totient is φ = 50715753547776.

The previous prime is 101434214434027. The next prime is 101434214434271. The reversal of 101434214434144 is 441434412434101.

It is a super-2 number, since 2×101434214434144² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101434214434097 and 101434214434106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41083969 + ... + 43482880.

It is an arithmetic number, because the mean of its divisors is an integer number (8320997489175).

Almost surely, 2^{101434214434144} is an apocalyptic number.

It is an amenable number.

101434214434144 is a deficient number, since it is larger than the sum of its proper divisors (98269725306056).

101434214434144 is an equidigital number, since it uses as much as digits as its factorization.

101434214434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84604342 (or 84604334 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

Adding to 101434214434144 its reverse (441434412434101), we get a palindrome (542868626868245).

The spelling of 101434214434144 in words is "one hundred one trillion, four hundred thirty-four billion, two hundred fourteen million, four hundred thirty-four thousand, one hundred forty-four".