10122121000 has 128 divisors (see below), whose sum is σ = 24379729920. Its totient is φ = 3931200000.

The previous prime is 10122120989. The next prime is 10122121057. The reversal of 10122121000 is 12122101.

10122121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 11110545 + ... + 11111455.

It is an arithmetic number, because the mean of its divisors is an integer number (190466640).

Almost surely, 2^10122121000 is an apocalyptic number.

10122121000 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 10122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189864960).

10122121000 is an abundant number, since it is smaller than the sum of its proper divisors (14257608920).

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

10122121000 is a wasteful number, since it uses less digits than its factorization.

10122121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122121000 its reverse (12122101), we get a palindrome (10134243101).

It can be divided in two parts, 101221 and 21000, that added together give a palindrome (122221).

The spelling of 10122121000 in words is "ten billion, one hundred twenty-two million, one hundred twenty-one thousand".