1002010222100 has 36 divisors (see below), whose sum is σ = 2174605704348. Its totient is φ = 400759200000.

The previous prime is 1002010222093. The next prime is 1002010222127. The reversal of 1002010222100 is 12220102001.

It is a happy number.

1002010222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3933296656 + 998076925444 = 62716^2 + 999038^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343490 + ... + 1456710.

Almost surely, 2^{1002010222100} is an apocalyptic number.

1002010222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002010222100 is an abundant number, since it is smaller than the sum of its proper divisors (1172595482248).

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

1002010222100 is a wasteful number, since it uses less digits than its factorization.

1002010222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122236 (or 1122229 counting only the distinct ones).

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

Adding to 1002010222100 its reverse (12220102001), we get a palindrome (1014230324101).

The spelling of 1002010222100 in words is "one trillion, two billion, ten million, two hundred twenty-two thousand, one hundred".