101001100212210 has 128 divisors (see below), whose sum is σ = 278395185392640. Its totient is φ = 23193251078400.

The previous prime is 101001100212161. The next prime is 101001100212217. The reversal of 101001100212210 is 12212001100101.

It is not an unprimeable number, because it can be changed into a prime (101001100212217) 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, 44879545 + ... + 47076275.

It is an arithmetic number, because the mean of its divisors is an integer number (2174962385880).

Almost surely, 2^{101001100212210} is an apocalyptic number.

101001100212210 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 101001100212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139197592696320).

101001100212210 is an abundant number, since it is smaller than the sum of its proper divisors (177394085180430).

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

101001100212210 is a wasteful number, since it uses less digits than its factorization.

101001100212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204104.

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

Adding to 101001100212210 its reverse (12212001100101), we get a palindrome (113213101312311).

The spelling of 101001100212210 in words is "one hundred one trillion, one billion, one hundred million, two hundred twelve thousand, two hundred ten".