101011012110 has 24 divisors (see below), whose sum is σ = 262628631720. Its totient is φ = 26936269872.

The previous prime is 101011012103. The next prime is 101011012111. The reversal of 101011012110 is 11210110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101011012092 and 101011012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561172200 + ... + 561172379.

It is an arithmetic number, because the mean of its divisors is an integer number (10942859655).

Almost surely, 2^101011012110 is an apocalyptic number.

101011012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011012110 is an abundant number, since it is smaller than the sum of its proper divisors (161617619610).

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

101011012110 is a wasteful number, since it uses less digits than its factorization.

101011012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122344592 (or 1122344589 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011012110 its reverse (11210110101), we get a palindrome (112221122211).

The spelling of 101011012110 in words is "one hundred one billion, eleven million, twelve thousand, one hundred ten".