101000120100110 has 256 divisors, whose sum is σ = 238972678963200. Its totient is φ = 29799202752000.

The previous prime is 101000120100053. The next prime is 101000120100161. The reversal of 101000120100110 is 11001021000101.

It is a happy number.

101000120100110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4004909081 + ... + 4004934299.

It is an arithmetic number, because the mean of its divisors is an integer number (933487027200).

Almost surely, 2^{101000120100110} is an apocalyptic number.

101000120100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000120100110 is an abundant number, since it is smaller than the sum of its proper divisors (137972558863090).

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

101000120100110 is a wasteful number, since it uses less digits than its factorization.

101000120100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27607.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101000120100110 its reverse (11001021000101), we get a palindrome (112001141100211).

The spelling of 101000120100110 in words is "one hundred one trillion, one hundred twenty million, one hundred thousand, one hundred ten".