10002122002100 has 36 divisors (see below), whose sum is σ = 21714095667264. Its totient is φ = 3999099322080.

The previous prime is 10002122002079. The next prime is 10002122002183. The reversal of 10002122002100 is 120022120001.

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 11 ways as a sum of consecutive naturals, for example, 21638642 + ... + 22096041.

Almost surely, 2^{10002122002100} is an apocalyptic number.

10002122002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002122002100 is an abundant number, since it is smaller than the sum of its proper divisors (11711973665164).

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

10002122002100 is a wasteful number, since it uses less digits than its factorization.

10002122002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43736984 (or 43736977 counting only the distinct ones).

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

Adding to 10002122002100 its reverse (120022120001), we get a palindrome (10122144122101).

The spelling of 10002122002100 in words is "ten trillion, two billion, one hundred twenty-two million, two thousand, one hundred".