10002122120120 has 64 divisors (see below), whose sum is σ = 24242432760000. Its totient is φ = 3692097497088.

The previous prime is 10002122120093. The next prime is 10002122120131. The reversal of 10002122120120 is 2102122120001.

It is a junction number, because it is equal to n+sod(n) for n = 10002122120095 and 10002122120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652145 + ... + 4519904.

It is an arithmetic number, because the mean of its divisors is an integer number (378788011875).

Almost surely, 2^{10002122120120} is an apocalyptic number.

10002122120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002122120120 is an abundant number, since it is smaller than the sum of its proper divisors (14240310639880).

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

10002122120120 is a wasteful number, since it uses less digits than its factorization.

10002122120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175792 (or 5175788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10002122120120 its reverse (2102122120001), we get a palindrome (12104244240121).

The spelling of 10002122120120 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".