10011111102102 has 128 divisors (see below), whose sum is σ = 22141278720000. Its totient is φ = 2992410288000.

The previous prime is 10011111102067. The next prime is 10011111102131. The reversal of 10011111102102 is 20120111111001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2192051823 + ... + 2192056389.

It is an arithmetic number, because the mean of its divisors is an integer number (172978740000).

Almost surely, 2^{10011111102102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011111102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070639360000).

10011111102102 is an abundant number, since it is smaller than the sum of its proper divisors (12130167617898).

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

10011111102102 is a wasteful number, since it uses less digits than its factorization.

10011111102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011111102102 its reverse (20120111111001), we get a palindrome (30131222213103).

The spelling of 10011111102102 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred two thousand, one hundred two".