10121021021100 has 288 divisors, whose sum is σ = 33689241250560. Its totient is φ = 2320140672000.

The previous prime is 10121021021063. The next prime is 10121021021107. The reversal of 10121021021100 is 112012012101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10121021021107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33771514 + ... + 34069886.

It is an arithmetic number, because the mean of its divisors is an integer number (116976532120).

Almost surely, 2^{10121021021100} is an apocalyptic number.

10121021021100 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 10121021021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844620625280).

10121021021100 is an abundant number, since it is smaller than the sum of its proper divisors (23568220229460).

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

10121021021100 is a wasteful number, since it uses less digits than its factorization.

10121021021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298961 (or 298954 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121021021100 its reverse (112012012101), we get a palindrome (10233033033201).

The spelling of 10121021021100 in words is "ten trillion, one hundred twenty-one billion, twenty-one million, twenty-one thousand, one hundred".