10010211001110 has 96 divisors (see below), whose sum is σ = 26199265397760. Its totient is φ = 2651726355264.

The previous prime is 10010211001103. The next prime is 10010211001139. The reversal of 10010211001110 is 1110011201001.

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 = 10010211001092 and 10010211001101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8838681 + ... + 9906699.

It is an arithmetic number, because the mean of its divisors is an integer number (272909014560).

Almost surely, 2^{10010211001110} is an apocalyptic number.

10010211001110 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 10010211001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13099632698880).

10010211001110 is an abundant number, since it is smaller than the sum of its proper divisors (16189054396650).

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

10010211001110 is a wasteful number, since it uses less digits than its factorization.

10010211001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068722 (or 1068719 counting only the distinct ones).

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

Adding to 10010211001110 its reverse (1110011201001), we get a palindrome (11120222202111).

The spelling of 10010211001110 in words is "ten trillion, ten billion, two hundred eleven million, one thousand, one hundred ten".