100000101101110 has 64 divisors (see below), whose sum is σ = 206196238656000. Its totient is φ = 34205475612672.

The previous prime is 100000101101101. The next prime is 100000101101143. The reversal of 100000101101110 is 11101101000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100000101101093 and 100000101101102.

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, 281529601 + ... + 281884579.

It is an arithmetic number, because the mean of its divisors is an integer number (3221816229000).

Almost surely, 2^{100000101101110} is an apocalyptic number.

100000101101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000101101110 is an abundant number, since it is smaller than the sum of its proper divisors (106196137554890).

100000101101110 is a wasteful number, since it uses less digits than its factorization.

100000101101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364405.

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

Adding to 100000101101110 its reverse (11101101000001), we get a palindrome (111101202101111).

The spelling of 100000101101110 in words is "one hundred trillion, one hundred one million, one hundred one thousand, one hundred ten".