10122100000 has 72 divisors (see below), whose sum is σ = 24908507316. Its totient is φ = 4048800000.

The previous prime is 10122099991. The next prime is 10122100031. The reversal of 10122100000 is 122101.

10122100000 is digitally balanced in base 2, 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 6 ways, for example, as 4031234064 + 6090865936 = 63492^2 + 78044^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 49390 + ... + 150610.

Almost surely, 2^10122100000 is an apocalyptic number.

10122100000 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 10122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454253658).

10122100000 is an abundant number, since it is smaller than the sum of its proper divisors (14786407316).

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

10122100000 is an frugal number, since it uses more digits than its factorization.

10122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101256 (or 101228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10122100000 its reverse (122101), we get a palindrome (10122222101).

It can be divided in two parts, 1012 and 2100000, that added together give a palindrome (2101012).

The spelling of 10122100000 in words is "ten billion, one hundred twenty-two million, one hundred thousand".