1022220100100 has 108 divisors (see below), whose sum is σ = 2379865543440. Its totient is φ = 380056809600.

The previous prime is 1022220100079. The next prime is 1022220100133. The reversal of 1022220100100 is 10010222201.

It is a happy number.

It is a super-4 number, since 4×1022220100100⁴ (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5241335 + ... + 5432865.

Almost surely, 2^{1022220100100} is an apocalyptic number.

1022220100100 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 1022220100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189932771720).

1022220100100 is an abundant number, since it is smaller than the sum of its proper divisors (1357645443340).

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

1022220100100 is a wasteful number, since it uses less digits than its factorization.

1022220100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191670 (or 191610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022220100100 its reverse (10010222201), we get a palindrome (1032230322301).

The spelling of 1022220100100 in words is "one trillion, twenty-two billion, two hundred twenty million, one hundred thousand, one hundred".