101479043561280 has 896 divisors, whose sum is σ = 407551576080384. Its totient is φ = 20779611955200.

The previous prime is 101479043561279. The next prime is 101479043561341. The reversal of 101479043561280 is 82165340974101.

It is a super-2 number, since 2×101479043561280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16726392807 + ... + 16726398873.

It is a 1-persistent number, because it is pandigital, but 2⋅101479043561280 = 202958087122560 is not.

Almost surely, 2^{101479043561280} is an apocalyptic number.

101479043561280 is a gapful number since it is divisible by the number (10) 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 101479043561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203775788040192).

101479043561280 is an abundant number, since it is smaller than the sum of its proper divisors (306072532519104).

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

101479043561280 is a wasteful number, since it uses less digits than its factorization.

101479043561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9363 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 101479043561280 in words is "one hundred one trillion, four hundred seventy-nine billion, forty-three million, five hundred sixty-one thousand, two hundred eighty".