10122002111120 has 20 divisors (see below), whose sum is σ = 23533654908540. Its totient is φ = 4048800844416.

The previous prime is 10122002111099. The next prime is 10122002111129. The reversal of 10122002111120 is 2111120022101.

It can be written as a sum of positive squares in 2 ways, for example, as 2235969939856 + 7886032171264 = 1495316^2 + 2808208^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 10122002111095 and 10122002111104.

It is not an unprimeable number, because it can be changed into a prime (10122002111129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63262513115 + ... + 63262513274.

It is an arithmetic number, because the mean of its divisors is an integer number (1176682745427).

Almost surely, 2^{10122002111120} is an apocalyptic number.

10122002111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122002111120 is an abundant number, since it is smaller than the sum of its proper divisors (13411652797420).

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

10122002111120 is a wasteful number, since it uses less digits than its factorization.

10122002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126525026402 (or 126525026396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10122002111120 its reverse (2111120022101), we get a palindrome (12233122133221).

The spelling of 10122002111120 in words is "ten trillion, one hundred twenty-two billion, two million, one hundred eleven thousand, one hundred twenty".