10121121101000 has 256 divisors, whose sum is σ = 29156773201920. Its totient is φ = 3202295040000.

The previous prime is 10121121100963. The next prime is 10121121101041. The reversal of 10121121101000 is 10112112101.

It is a super-2 number, since 2×10121121101000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388647980 + ... + 388674020.

It is an arithmetic number, because the mean of its divisors is an integer number (113893645320).

Almost surely, 2^{10121121101000} is an apocalyptic number.

10121121101000 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 10121121101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14578386600960).

10121121101000 is an abundant number, since it is smaller than the sum of its proper divisors (19035652100920).

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

10121121101000 is a wasteful number, since it uses less digits than its factorization.

10121121101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30353 (or 30339 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121121101000 its reverse (10112112101), we get a palindrome (10131233213101).

It can be divided in two parts, 1012112 and 1101000, that added together give a palindrome (2113112).

The spelling of 10121121101000 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand".