10002101101110 has 128 divisors (see below), whose sum is σ = 27111746344320. Its totient is φ = 2623286476800.

The previous prime is 10002101101103. The next prime is 10002101101123. The reversal of 10002101101110 is 1110110120001.

10002101101110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10002101101092 and 10002101101101.

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, 347848494 + ... + 347877246.

It is an arithmetic number, because the mean of its divisors is an integer number (211810518315).

Almost surely, 2^{10002101101110} is an apocalyptic number.

10002101101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002101101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555873172160).

10002101101110 is an abundant number, since it is smaller than the sum of its proper divisors (17109645243210).

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

10002101101110 is a wasteful number, since it uses less digits than its factorization.

10002101101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49951 (or 49945 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10002101101110 its reverse (1110110120001), we get a palindrome (11112211221111).

The spelling of 10002101101110 in words is "ten trillion, two billion, one hundred one million, one hundred one thousand, one hundred ten".