10112002120220 has 192 divisors, whose sum is σ = 28514146784256. Its totient is φ = 2909087723520.

The previous prime is 10112002120189. The next prime is 10112002120279. The reversal of 10112002120220 is 2202120021101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10112002120195 and 10112002120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419346884 + ... + 419370996.

It is an arithmetic number, because the mean of its divisors is an integer number (148511181168).

Almost surely, 2^{10112002120220} is an apocalyptic number.

10112002120220 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 10112002120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257073392128).

10112002120220 is an abundant number, since it is smaller than the sum of its proper divisors (18402144664036).

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

10112002120220 is a wasteful number, since it uses less digits than its factorization.

10112002120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45100 (or 45098 counting only the distinct ones).

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

Adding to 10112002120220 its reverse (2202120021101), we get a palindrome (12314122141321).

The spelling of 10112002120220 in words is "ten trillion, one hundred twelve billion, two million, one hundred twenty thousand, two hundred twenty".