101122464 has 48 divisors (see below), whose sum is σ = 266843808. Its totient is φ = 33530112.

The previous prime is 101122459. The next prime is 101122471. The reversal of 101122464 is 464221101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 101122464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16239 + ... + 21585.

It is an arithmetic number, because the mean of its divisors is an integer number (5559246).

Almost surely, 2^101122464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133421904).

101122464 is an abundant number, since it is smaller than the sum of its proper divisors (165721344).

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

101122464 is a wasteful number, since it uses less digits than its factorization.

101122464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 101122464 is about 10055.9665870567. The cubic root of 101122464 is about 465.8890978635.

Adding to 101122464 its reverse (464221101), we get a palindrome (565343565).

The spelling of 101122464 in words is "one hundred one million, one hundred twenty-two thousand, four hundred sixty-four".