10201221121000 has 256 divisors, whose sum is σ = 29401274972160. Its totient is φ = 3226127385600.

The previous prime is 10201221120977. The next prime is 10201221121009. The reversal of 10201221121000 is 12112210201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10201221121009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124902177 + ... + 124983823.

It is an arithmetic number, because the mean of its divisors is an integer number (114848730360).

Almost surely, 2^{10201221121000} is an apocalyptic number.

10201221121000 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 10201221121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14700637486080).

10201221121000 is an abundant number, since it is smaller than the sum of its proper divisors (19200053851160).

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

10201221121000 is a wasteful number, since it uses less digits than its factorization.

10201221121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83061 (or 83047 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201221121000 its reverse (12112210201), we get a palindrome (10213333331201).

The spelling of 10201221121000 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand".