101464120160 has 192 divisors, whose sum is σ = 261673058304. Its totient is φ = 36955699200.

The previous prime is 101464120159. The next prime is 101464120187. The reversal of 101464120160 is 61021464101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50453555 + ... + 50455565.

It is an arithmetic number, because the mean of its divisors is an integer number (1362880512).

Almost surely, 2^101464120160 is an apocalyptic number.

101464120160 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 101464120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130836529152).

101464120160 is an abundant number, since it is smaller than the sum of its proper divisors (160208938144).

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

101464120160 is a wasteful number, since it uses less digits than its factorization.

101464120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 101464120160 its reverse (61021464101), we get a palindrome (162485584261).

The spelling of 101464120160 in words is "one hundred one billion, four hundred sixty-four million, one hundred twenty thousand, one hundred sixty".