10212122001120 has 192 divisors, whose sum is σ = 35159716085760. Its totient is φ = 2476234303488.

The previous prime is 10212122001073. The next prime is 10212122001143. The reversal of 10212122001120 is 2110022121201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212122001120.

It is a congruent number.

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, 11795040 + ... + 12631199.

It is an arithmetic number, because the mean of its divisors is an integer number (183123521280).

Almost surely, 2^{10212122001120} is an apocalyptic number.

10212122001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212122001120 is an abundant number, since it is smaller than the sum of its proper divisors (24947594084640).

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

10212122001120 is a wasteful number, since it uses less digits than its factorization.

10212122001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24426337 (or 24426329 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212122001120 its reverse (2110022121201), we get a palindrome (12322144122321).

The spelling of 10212122001120 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, one thousand, one hundred twenty".