101221220022210 has 96 divisors (see below), whose sum is σ = 263965245813360. Its totient is φ = 26911297695744.

The previous prime is 101221220022113. The next prime is 101221220022211. The reversal of 101221220022210 is 12220022122101.

It is a happy number.

101221220022210 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 220 + 0 + 2 + 221 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49068890196561 + 52152329825649 = 7004919^2 + 7221657^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101221220022211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740094006 + ... + 1740152174.

Almost surely, 2^{101221220022210} is an apocalyptic number.

101221220022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221220022210 is an abundant number, since it is smaller than the sum of its proper divisors (162744025791150).

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

101221220022210 is a wasteful number, since it uses less digits than its factorization.

101221220022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115892 (or 115889 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101221220022210 its reverse (12220022122101), we get a palindrome (113441242144311).

The spelling of 101221220022210 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, two hundred ten".