101101221222210 has 192 divisors, whose sum is σ = 304319710506240. Its totient is φ = 23015110717440.

The previous prime is 101101221222149. The next prime is 101101221222247. The reversal of 101101221222210 is 12222122101101.

101101221222210 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 1 + 221 + 222 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546454 + ... + 14230286.

It is an arithmetic number, because the mean of its divisors is an integer number (1584998492220).

Almost surely, 2^{101101221222210} is an apocalyptic number.

101101221222210 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 101101221222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152159855253120).

101101221222210 is an abundant number, since it is smaller than the sum of its proper divisors (203218489284030).

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

101101221222210 is a wasteful number, since it uses less digits than its factorization.

101101221222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13684313 (or 13684310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101101221222210 its reverse (12222122101101), we get a palindrome (113323343323311).

It can be divided in two parts, 1011012 and 21222210, that added together give a palindrome (22233222).

The spelling of 101101221222210 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred ten".