101402468160 has 448 divisors, whose sum is σ = 380905390080. Its totient is φ = 22365757440.

The previous prime is 101402468117. The next prime is 101402468161. The reversal of 101402468160 is 61864204101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101402468161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141032281 + ... + 141032999.

Almost surely, 2^101402468160 is an apocalyptic number.

101402468160 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 101402468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190452695040).

101402468160 is an abundant number, since it is smaller than the sum of its proper divisors (279502921920).

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

101402468160 is a wasteful number, since it uses less digits than its factorization.

101402468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 101402468160 in words is "one hundred one billion, four hundred two million, four hundred sixty-eight thousand, one hundred sixty".