101011121000110 has 32 divisors (see below), whose sum is σ = 189754085581632. Its totient is φ = 38641856478720.

The previous prime is 101011121000093. The next prime is 101011121000123. The reversal of 101011121000110 is 11000121110101.

It is a super-5 number, since 5×101011121000110⁵ (a number of 71 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31874761 + ... + 34900180.

It is an arithmetic number, because the mean of its divisors is an integer number (5929815174426).

Almost surely, 2^{101011121000110} is an apocalyptic number.

101011121000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011121000110 is a deficient number, since it is larger than the sum of its proper divisors (88742964581522).

101011121000110 is a wasteful number, since it uses less digits than its factorization.

101011121000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66781548.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011121000110 its reverse (11000121110101), we get a palindrome (112011242110211).

It can be divided in two parts, 101011 and 121000110, that added together give a palindrome (121101121).

The spelling of 101011121000110 in words is "one hundred one trillion, eleven billion, one hundred twenty-one million, one hundred ten", and thus it is an aban number.