10111002202120 has 128 divisors (see below), whose sum is σ = 23743891584000. Its totient is φ = 3872621320960.

The previous prime is 10111002202117. The next prime is 10111002202139. The reversal of 10111002202120 is 2120220011101.

It is a self number, because there is not a number n which added to its sum of digits gives 10111002202120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13543971 + ... + 14270989.

It is an arithmetic number, because the mean of its divisors is an integer number (185499153000).

Almost surely, 2^{10111002202120} is an apocalyptic number.

10111002202120 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 10111002202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871945792000).

10111002202120 is an abundant number, since it is smaller than the sum of its proper divisors (13632889381880).

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

10111002202120 is a wasteful number, since it uses less digits than its factorization.

10111002202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727243 (or 727239 counting only the distinct ones).

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

Adding to 10111002202120 its reverse (2120220011101), we get a palindrome (12231222213221).

The spelling of 10111002202120 in words is "ten trillion, one hundred eleven billion, two million, two hundred two thousand, one hundred twenty".