10122121100 has 216 divisors, whose sum is σ = 27749505168. Its totient is φ = 3176409600.

The previous prime is 10122121091. The next prime is 10122121157. The reversal of 10122121100 is 112122101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8344094 + ... + 8345306.

Almost surely, 2^10122121100 is an apocalyptic number.

10122121100 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 10122121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874752584).

10122121100 is an abundant number, since it is smaller than the sum of its proper divisors (17627384068).

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

10122121100 is a wasteful number, since it uses less digits than its factorization.

10122121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10122121100 its reverse (112122101), we get a palindrome (10234243201).

The spelling of 10122121100 in words is "ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".