10012100022120 has 96 divisors (see below), whose sum is σ = 34940185812000. Its totient is φ = 2288480003712.

The previous prime is 10012100022103. The next prime is 10012100022131. The reversal of 10012100022120 is 2122000121001.

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 = 10012100022096 and 10012100022105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851363170 + ... + 851374929.

It is an arithmetic number, because the mean of its divisors is an integer number (363960268875).

Almost surely, 2^{10012100022120} is an apocalyptic number.

10012100022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012100022120 is an abundant number, since it is smaller than the sum of its proper divisors (24928085789880).

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

10012100022120 is a wasteful number, since it uses less digits than its factorization.

10012100022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702738127 (or 1702738116 counting only the distinct ones).

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

Adding to 10012100022120 its reverse (2122000121001), we get a palindrome (12134100143121).

The spelling of 10012100022120 in words is "ten trillion, twelve billion, one hundred million, twenty-two thousand, one hundred twenty".