101122005600 has 1296 divisors, whose sum is σ = 460131549696. Its totient is φ = 20659968000.

The previous prime is 101122005553. The next prime is 101122005601. The reversal of 101122005600 is 6500221101.

101122005600 is a `hidden beast` number, since 101 + 1 + 2 + 2 + 0 + 0 + 560 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122005601) 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 215 ways as a sum of consecutive naturals, for example, 275536617 + ... + 275536983.

It is an arithmetic number, because the mean of its divisors is an integer number (355039776).

Almost surely, 2^101122005600 is an apocalyptic number.

101122005600 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 101122005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230065774848).

101122005600 is an abundant number, since it is smaller than the sum of its proper divisors (359009544096).

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

101122005600 is a wasteful number, since it uses less digits than its factorization.

101122005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 466 counting only the distinct ones).

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

Adding to 101122005600 its reverse (6500221101), we get a palindrome (107622226701).

The spelling of 101122005600 in words is "one hundred one billion, one hundred twenty-two million, five thousand, six hundred".