101022221121100 has 72 divisors (see below), whose sum is σ = 221488786341648. Its totient is φ = 39990712608000.

The previous prime is 101022221121091. The next prime is 101022221121149. The reversal of 101022221121100 is 1121122220101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20091427 + ... + 24611173.

It is an arithmetic number, because the mean of its divisors is an integer number (3076233143634).

Almost surely, 2^{101022221121100} is an apocalyptic number.

101022221121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022221121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110744393170824).

101022221121100 is an abundant number, since it is smaller than the sum of its proper divisors (120466565220548).

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

101022221121100 is a wasteful number, since it uses less digits than its factorization.

101022221121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522075 (or 4522068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101022221121100 its reverse (1121122220101), we get a palindrome (102143343341201).

It can be divided in two parts, 101022 and 221121100, that added together give a palindrome (221222122).

The spelling of 101022221121100 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".