10111220212002 has 192 divisors, whose sum is σ = 26652906693504. Its totient is φ = 2531337661440.

The previous prime is 10111220211943. The next prime is 10111220212033. The reversal of 10111220212002 is 20021202211101.

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 95 ways as a sum of consecutive naturals, for example, 4926013 + ... + 6669935.

It is an arithmetic number, because the mean of its divisors is an integer number (138817222362).

Almost surely, 2^{10111220212002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111220212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13326453346752).

10111220212002 is an abundant number, since it is smaller than the sum of its proper divisors (16541686481502).

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

10111220212002 is a wasteful number, since it uses less digits than its factorization.

10111220212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744033 (or 1744026 counting only the distinct ones).

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

Adding to 10111220212002 its reverse (20021202211101), we get a palindrome (30132422423103).

The spelling of 10111220212002 in words is "ten trillion, one hundred eleven billion, two hundred twenty million, two hundred twelve thousand, two".