101022222102100 has 72 divisors (see below), whose sum is σ = 236082956473728. Its totient is φ = 37300229270400.

The previous prime is 101022222102097. The next prime is 101022222102121. The reversal of 101022222102100 is 1201222220101.

It is a happy number.

It is a congruent number.

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, 256983897 + ... + 257376703.

It is an arithmetic number, because the mean of its divisors is an integer number (3278929951024).

Almost surely, 2^{101022222102100} is an apocalyptic number.

101022222102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022222102100 is an abundant number, since it is smaller than the sum of its proper divisors (135060734371628).

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

101022222102100 is a wasteful number, since it uses less digits than its factorization.

101022222102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590665 (or 590658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101022222102100 its reverse (1201222220101), we get a palindrome (102223444322201).

The spelling of 101022222102100 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-two million, one hundred two thousand, one hundred".