10001121212120 has 64 divisors (see below), whose sum is σ = 22977279400320. Its totient is φ = 3916847314944.

The previous prime is 10001121212111. The next prime is 10001121212123. The reversal of 10001121212120 is 2121212110001.

It is a junction number, because it is equal to n+sod(n) for n = 10001121212095 and 10001121212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121212123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12100112 + ... + 12900191.

It is an arithmetic number, because the mean of its divisors is an integer number (359019990630).

Almost surely, 2^{10001121212120} is an apocalyptic number.

10001121212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001121212120 is an abundant number, since it is smaller than the sum of its proper divisors (12976158188200).

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

10001121212120 is a wasteful number, since it uses less digits than its factorization.

10001121212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25000524 (or 25000520 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001121212120 its reverse (2121212110001), we get a palindrome (12122333322121).

It can be divided in two parts, 10001 and 121212120, that added together give a palindrome (121222121).

The spelling of 10001121212120 in words is "ten trillion, one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".