101122560 has 640 divisors, whose sum is σ = 471398400. Its totient is φ = 19906560.

The previous prime is 101122547. The next prime is 101122603. The reversal of 101122560 is 65221101.

101122560 is a `hidden beast` number, since 101 + 1 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5322231 + ... + 5322249.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 2^101122560 is an apocalyptic number.

101122560 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 101122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

101122560 is an abundant number, since it is smaller than the sum of its proper divisors (370275840).

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

101122560 is a wasteful number, since it uses less digits than its factorization.

101122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101122560 is about 10055.9713603411. The cubic root of 101122560 is about 465.8892452932.

Adding to 101122560 its reverse (65221101), we get a palindrome (166343661).

The spelling of 101122560 in words is "one hundred one million, one hundred twenty-two thousand, five hundred sixty".