10002211102120 has 64 divisors (see below), whose sum is σ = 22820838984000. Its totient is φ = 3944767246848.

The previous prime is 10002211102109. The next prime is 10002211102127. The reversal of 10002211102120 is 2120111220001.

It is a self number, because there is not a number n which added to its sum of digits gives 10002211102120.

It is not an unprimeable number, because it can be changed into a prime (10002211102127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8248171 + ... + 9382789.

It is an arithmetic number, because the mean of its divisors is an integer number (356575609125).

Almost surely, 2^{10002211102120} is an apocalyptic number.

10002211102120 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 10002211102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11410419492000).

10002211102120 is an abundant number, since it is smaller than the sum of its proper divisors (12818627881880).

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

10002211102120 is a wasteful number, since it uses less digits than its factorization.

10002211102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137722 (or 1137718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002211102120 its reverse (2120111220001), we get a palindrome (12122322322121).

The spelling of 10002211102120 in words is "ten trillion, two billion, two hundred eleven million, one hundred two thousand, one hundred twenty".