122101100010 has 192 divisors, whose sum is σ = 334741758624. Its totient is φ = 30838579200.

The previous prime is 122101099987. The next prime is 122101100027. The reversal of 122101100010 is 10001101221.

It is a happy number.

122101100010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 72077751729 + 50023348281 = 268473^2 + 223659^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 122101099965 and 122101100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92430150 + ... + 92431470.

Almost surely, 2^122101100010 is an apocalyptic number.

122101100010 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 122101100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167370879312).

122101100010 is an abundant number, since it is smaller than the sum of its proper divisors (212640658614).

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

122101100010 is a wasteful number, since it uses less digits than its factorization.

122101100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2086 counting only the distinct ones).

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

Adding to 122101100010 its reverse (10001101221), we get a palindrome (132102201231).

It can be divided in two parts, 122101 and 100010, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 122101100010 in words is "one hundred twenty-two billion, one hundred one million, one hundred thousand, ten".