100210121000 has 256 divisors, whose sum is σ = 275994501120. Its totient is φ = 33646080000.

The previous prime is 100210120979. The next prime is 100210121021. The reversal of 100210121000 is 121012001.

100210121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100210120979) and next prime (100210121021).

It is a Harshad number since it is a multiple of its sum of digits (8).

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 63 ways as a sum of consecutive naturals, for example, 9905945 + ... + 9916055.

It is an arithmetic number, because the mean of its divisors is an integer number (1078103520).

Almost surely, 2^100210121000 is an apocalyptic number.

100210121000 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 100210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137997250560).

100210121000 is an abundant number, since it is smaller than the sum of its proper divisors (175784380120).

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

100210121000 is a wasteful number, since it uses less digits than its factorization.

100210121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10213 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100210121000 its reverse (121012001), we get a palindrome (100331133001).

The spelling of 100210121000 in words is "one hundred billion, two hundred ten million, one hundred twenty-one thousand".