1021002220100 has 18 divisors (see below), whose sum is σ = 2215574817834. Its totient is φ = 408400888000.

The previous prime is 1021002220067. The next prime is 1021002220109. The reversal of 1021002220100 is 10222001201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 155893887556 + 865108332544 = 394834^2 + 930112^2 .

It is not an unprimeable number, because it can be changed into a prime (1021002220109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5105011001 + ... + 5105011200.

Almost surely, 2^{1021002220100} is an apocalyptic number.

1021002220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021002220100 is an abundant number, since it is smaller than the sum of its proper divisors (1194572597734).

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

1021002220100 is a wasteful number, since it uses less digits than its factorization.

1021002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210022215 (or 10210022208 counting only the distinct ones).

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

Adding to 1021002220100 its reverse (10222001201), we get a palindrome (1031224221301).

The spelling of 1021002220100 in words is "one trillion, twenty-one billion, two million, two hundred twenty thousand, one hundred".