101100122010 has 192 divisors, whose sum is σ = 276154220160. Its totient is φ = 25635294720.

The previous prime is 101100122009. The next prime is 101100122059. The reversal of 101100122010 is 10221001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101100121983 and 101100122001.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 35559649 + ... + 35562491.

It is an arithmetic number, because the mean of its divisors is an integer number (1438303230).

Almost surely, 2^101100122010 is an apocalyptic number.

101100122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138077110080).

101100122010 is an abundant number, since it is smaller than the sum of its proper divisors (175054098150).

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

101100122010 is a wasteful number, since it uses less digits than its factorization.

101100122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100122010 its reverse (10221001101), we get a palindrome (111321123111).

The spelling of 101100122010 in words is "one hundred one billion, one hundred million, one hundred twenty-two thousand, ten".