101001221010210 has 256 divisors, whose sum is σ = 257040258508800. Its totient is φ = 25363666944000.

The previous prime is 101001221010149. The next prime is 101001221010247. The reversal of 101001221010210 is 12010122100101.

101001221010210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2119312702 + ... + 2119360358.

It is an arithmetic number, because the mean of its divisors is an integer number (1004063509800).

Almost surely, 2^{101001221010210} is an apocalyptic number.

101001221010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001221010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520129254400).

101001221010210 is an abundant number, since it is smaller than the sum of its proper divisors (156039037498590).

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

101001221010210 is a wasteful number, since it uses less digits than its factorization.

101001221010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48157.

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

Adding to 101001221010210 its reverse (12010122100101), we get a palindrome (113011343110311).

The spelling of 101001221010210 in words is "one hundred one trillion, one billion, two hundred twenty-one million, ten thousand, two hundred ten".