10010112121000 has 128 divisors (see below), whose sum is σ = 23661444418560. Its totient is φ = 3963418080000.

The previous prime is 10010112120997. The next prime is 10010112121001. The reversal of 10010112121000 is 12121101001.

It is a super-2 number, since 2×10010112121000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10010112121001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 513777259 + ... + 513796741.

It is an arithmetic number, because the mean of its divisors is an integer number (184855034520).

Almost surely, 2^{10010112121000} is an apocalyptic number.

10010112121000 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 10010112121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11830722209280).

10010112121000 is an abundant number, since it is smaller than the sum of its proper divisors (13651332297560).

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

10010112121000 is a wasteful number, since it uses less digits than its factorization.

10010112121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24692 (or 24678 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10010112121000 its reverse (12121101001), we get a palindrome (10022233222001).

The spelling of 10010112121000 in words is "ten trillion, ten billion, one hundred twelve million, one hundred twenty-one thousand".