10002122010120 has 128 divisors (see below), whose sum is σ = 30066702906240. Its totient is φ = 2661872209920.

The previous prime is 10002122010079. The next prime is 10002122010137. The reversal of 10002122010120 is 2101022120001.

It is a super-3 number, since 3×10002122010120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002122010096 and 10002122010105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237012862 + ... + 237055058.

It is an arithmetic number, because the mean of its divisors is an integer number (234896116455).

Almost surely, 2^{10002122010120} is an apocalyptic number.

10002122010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002122010120 is an abundant number, since it is smaller than the sum of its proper divisors (20064580896120).

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

10002122010120 is a wasteful number, since it uses less digits than its factorization.

10002122010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46135 (or 46131 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002122010120 its reverse (2101022120001), we get a palindrome (12103144130121).

The spelling of 10002122010120 in words is "ten trillion, two billion, one hundred twenty-two million, ten thousand, one hundred twenty".