1021002210100 has 18 divisors (see below), whose sum is σ = 2215574796134. Its totient is φ = 408400884000.

The previous prime is 1021002210047. The next prime is 1021002210121. The reversal of 1021002210100 is 10122001201.

It can be written as a sum of positive squares in 3 ways, for example, as 94099243536 + 926902966564 = 306756^2 + 962758^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 5 ways as a sum of consecutive naturals, for example, 5105010951 + ... + 5105011150.

Almost surely, 2^{1021002210100} is an apocalyptic number.

1021002210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021002210100 is an abundant number, since it is smaller than the sum of its proper divisors (1194572586034).

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

1021002210100 is a wasteful number, since it uses less digits than its factorization.

1021002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210022115 (or 10210022108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021002210100 its reverse (10122001201), we get a palindrome (1031124211301).

The spelling of 1021002210100 in words is "one trillion, twenty-one billion, two million, two hundred ten thousand, one hundred".