10121021000000 has 196 divisors, whose sum is σ = 25144963765344. Its totient is φ = 4041892800000.

The previous prime is 10121020999883. The next prime is 10121021000011. The reversal of 10121021000000 is 12012101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 646992179 + ... + 647007821.

Almost surely, 2^{10121021000000} is an apocalyptic number.

10121021000000 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 10121021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572481882672).

10121021000000 is an abundant number, since it is smaller than the sum of its proper divisors (15023942765344).

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

10121021000000 is an frugal number, since it uses more digits than its factorization.

10121021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16332 (or 16297 counting only the distinct ones).

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

Adding to 10121021000000 its reverse (12012101), we get a palindrome (10121033012101).

It can be divided in two parts, 1012102 and 1000000, that added together give a palindrome (2012102).

The spelling of 10121021000000 in words is "ten trillion, one hundred twenty-one billion, twenty-one million", and thus it is an aban number.