10002120220100 has 18 divisors (see below), whose sum is σ = 21704600877834. Its totient is φ = 4000848088000.

The previous prime is 10002120220087. The next prime is 10002120220153. The reversal of 10002120220100 is 102202120001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 820832376004 + 9181287844096 = 905998^2 + 3030064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50010601001 + ... + 50010601200.

Almost surely, 2^{10002120220100} is an apocalyptic number.

10002120220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002120220100 is an abundant number, since it is smaller than the sum of its proper divisors (11702480657734).

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

10002120220100 is a wasteful number, since it uses less digits than its factorization.

10002120220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100021202215 (or 100021202208 counting only the distinct ones).

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

Adding to 10002120220100 its reverse (102202120001), we get a palindrome (10104322340101).

The spelling of 10002120220100 in words is "ten trillion, two billion, one hundred twenty million, two hundred twenty thousand, one hundred".