10001121200210 has 48 divisors (see below), whose sum is σ = 21616643301120. Its totient is φ = 3318344356320.

The previous prime is 10001121200107. The next prime is 10001121200219. The reversal of 10001121200210 is 1200212110001.

It is a super-3 number, since 3×10001121200210³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10001121200191 and 10001121200200.

It is not an unprimeable number, because it can be changed into a prime (10001121200219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329185640 + ... + 329216019.

It is an arithmetic number, because the mean of its divisors is an integer number (450346735440).

Almost surely, 2^{10001121200210} is an apocalyptic number.

10001121200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001121200210 is an abundant number, since it is smaller than the sum of its proper divisors (11615522100910).

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

10001121200210 is a wasteful number, since it uses less digits than its factorization.

10001121200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658401711 (or 658401704 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001121200210 its reverse (1200212110001), we get a palindrome (11201333310211).

The spelling of 10001121200210 in words is "ten trillion, one billion, one hundred twenty-one million, two hundred thousand, two hundred ten".