101221000210122 has 256 divisors, whose sum is σ = 233621324955648. Its totient is φ = 29000672870400.

The previous prime is 101221000210111. The next prime is 101221000210123. The reversal of 101221000210122 is 221012000122101.

101221000210122 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101221000210123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3923129622 + ... + 3923155422.

It is an arithmetic number, because the mean of its divisors is an integer number (912583300608).

Almost surely, 2^{101221000210122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221000210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116810662477824).

101221000210122 is an abundant number, since it is smaller than the sum of its proper divisors (132400324745526).

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

101221000210122 is a wasteful number, since it uses less digits than its factorization.

101221000210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26293.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101221000210122 its reverse (221012000122101), we get a palindrome (322233000332223).

The spelling of 101221000210122 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred ten thousand, one hundred twenty-two".