10002122121100 has 36 divisors (see below), whose sum is σ = 22060418213008. Its totient is φ = 3935261160000.

The previous prime is 10002122121023. The next prime is 10002122121109. The reversal of 10002122121100 is 112122120001.

It is not an unprimeable number, because it can be changed into a prime (10002122121109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819839976 + ... + 819852175.

Almost surely, 2^{10002122121100} is an apocalyptic number.

10002122121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002122121100 is an abundant number, since it is smaller than the sum of its proper divisors (12058296091908).

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

10002122121100 is a wasteful number, since it uses less digits than its factorization.

10002122121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639692226 (or 1639692219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002122121100 its reverse (112122120001), we get a palindrome (10114244241101).

The spelling of 10002122121100 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".