10212102200120 has 128 divisors (see below), whose sum is σ = 23697845740800. Its totient is φ = 3958340327424.

The previous prime is 10212102200101. The next prime is 10212102200143. The reversal of 10212102200120 is 2100220121201.

It is a junction number, because it is equal to n+sod(n) for n = 10212102200095 and 10212102200104.

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, 133273739 + ... + 133350341.

It is an arithmetic number, because the mean of its divisors is an integer number (185139419850).

Almost surely, 2^{10212102200120} is an apocalyptic number.

10212102200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212102200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848922870400).

10212102200120 is an abundant number, since it is smaller than the sum of its proper divisors (13485743540680).

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

10212102200120 is a wasteful number, since it uses less digits than its factorization.

10212102200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77269 (or 77265 counting only the distinct ones).

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

Adding to 10212102200120 its reverse (2100220121201), we get a palindrome (12312322321321).

The spelling of 10212102200120 in words is "ten trillion, two hundred twelve billion, one hundred two million, two hundred thousand, one hundred twenty".