100010121120 has 576 divisors, whose sum is σ = 438517981440. Its totient is φ = 21100455936.

The previous prime is 100010121089. The next prime is 100010121161. The reversal of 100010121120 is 21121010001.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2733669 + ... + 2770011.

It is an arithmetic number, because the mean of its divisors is an integer number (761315940).

Almost surely, 2^100010121120 is an apocalyptic number.

100010121120 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 100010121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219258990720).

100010121120 is an abundant number, since it is smaller than the sum of its proper divisors (338507860320).

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

100010121120 is a wasteful number, since it uses less digits than its factorization.

100010121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36394 (or 36373 counting only the distinct ones).

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

Adding to 100010121120 its reverse (21121010001), we get a palindrome (121131131121).

The spelling of 100010121120 in words is "one hundred billion, ten million, one hundred twenty-one thousand, one hundred twenty".