101100122000 has 160 divisors (see below), whose sum is σ = 259143636960. Its totient is φ = 38016614400.

The previous prime is 101100121979. The next prime is 101100122009. The reversal of 101100122000 is 221001101.

It can be written as a sum of positive squares in 16 ways, for example, as 94686674944 + 6413447056 = 307712^2 + 80084^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (101100122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50625002 + ... + 50626998.

It is an arithmetic number, because the mean of its divisors is an integer number (1619647731).

Almost surely, 2^101100122000 is an apocalyptic number.

101100122000 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 101100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129571818480).

101100122000 is an abundant number, since it is smaller than the sum of its proper divisors (158043514960).

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

101100122000 is a wasteful number, since it uses less digits than its factorization.

101100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101100122000 its reverse (221001101), we get a palindrome (101321123101).

The spelling of 101100122000 in words is "one hundred one billion, one hundred million, one hundred twenty-two thousand".