101430434607216 has 160 divisors (see below), whose sum is σ = 307990486180608. Its totient is φ = 28358079160320.

The previous prime is 101430434607209. The next prime is 101430434607217. The reversal of 101430434607216 is 612706434034101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101430434607217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10181535 + ... + 17507841.

Almost surely, 2^{101430434607216} is an apocalyptic number.

101430434607216 is a gapful number since it is divisible by the number (16) 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 101430434607216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153995243090304).

101430434607216 is an abundant number, since it is smaller than the sum of its proper divisors (206560051573392).

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

101430434607216 is a wasteful number, since it uses less digits than its factorization.

101430434607216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328359 (or 7328353 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 101430434607216 in words is "one hundred one trillion, four hundred thirty billion, four hundred thirty-four million, six hundred seven thousand, two hundred sixteen".