101114034010 has 32 divisors (see below), whose sum is σ = 203917450752. Its totient is φ = 35774988480.

The previous prime is 101114033957. The next prime is 101114034019. The reversal of 101114034010 is 10430411101.

It is not an unprimeable number, because it can be changed into a prime (101114034019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12417802 + ... + 12425941.

It is an arithmetic number, because the mean of its divisors is an integer number (6372420336).

Almost surely, 2^101114034010 is an apocalyptic number.

101114034010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101114034010 is an abundant number, since it is smaller than the sum of its proper divisors (102803416742).

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

101114034010 is a wasteful number, since it uses less digits than its factorization.

101114034010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24843798.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101114034010 its reverse (10430411101), we get a palindrome (111544445111).

It can be divided in two parts, 10111 and 4034010, that added together give a square (4044121 = 2011²).

The spelling of 101114034010 in words is "one hundred one billion, one hundred fourteen million, thirty-four thousand, ten".