10100010101110 has 64 divisors (see below), whose sum is σ = 18316479456000. Its totient is φ = 4009805356032.

The previous prime is 10100010101101. The next prime is 10100010101117. The reversal of 10100010101110 is 1110101000101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100010101093 and 10100010101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010101117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2172510066 + ... + 2172514714.

It is an arithmetic number, because the mean of its divisors is an integer number (286194991500).

Almost surely, 2^{10100010101110} is an apocalyptic number.

10100010101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100010101110 is a deficient number, since it is larger than the sum of its proper divisors (8216469354890).

10100010101110 is a wasteful number, since it uses less digits than its factorization.

10100010101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100010101110 its reverse (1110101000101), we get a palindrome (11210111101211).

The spelling of 10100010101110 in words is "ten trillion, one hundred billion, ten million, one hundred one thousand, one hundred ten".