10001000101110 has 64 divisors (see below), whose sum is σ = 25068929414400. Its totient is φ = 2550873485952.

The previous prime is 10001000101109. The next prime is 10001000101121. The reversal of 10001000101110 is 1110100010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

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, 76289680 + ... + 76420659.

It is an arithmetic number, because the mean of its divisors is an integer number (391702022100).

Almost surely, 2^{10001000101110} is an apocalyptic number.

10001000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001000101110 is an abundant number, since it is smaller than the sum of its proper divisors (15067929313290).

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

10001000101110 is a wasteful number, since it uses less digits than its factorization.

10001000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152710445.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001000101110 its reverse (1110100010001), we get a palindrome (11111100111111).

The spelling of 10001000101110 in words is "ten trillion, one billion, one hundred one thousand, one hundred ten".