10112010021120 has 288 divisors, whose sum is σ = 37067266559232. Its totient is φ = 2301395337216.

The previous prime is 10112010021109. The next prime is 10112010021131. The reversal of 10112010021120 is 2112001021101.

It is an interprime number because it is at equal distance from previous prime (10112010021109) and next prime (10112010021131).

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 = 10112010021096 and 10112010021105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5455764 + ... + 7070316.

It is an arithmetic number, because the mean of its divisors is an integer number (128705786664).

Almost surely, 2^{10112010021120} is an apocalyptic number.

10112010021120 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 10112010021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533633279616).

10112010021120 is an abundant number, since it is smaller than the sum of its proper divisors (26955256538112).

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

10112010021120 is a wasteful number, since it uses less digits than its factorization.

10112010021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614817 (or 1614803 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112010021120 its reverse (2112001021101), we get a palindrome (12224011042221).

The spelling of 10112010021120 in words is "ten trillion, one hundred twelve billion, ten million, twenty-one thousand, one hundred twenty".