101410120 has 64 divisors (see below), whose sum is σ = 261636480. Its totient is φ = 34653696.

The previous prime is 101410103. The next prime is 101410139. The reversal of 101410120 is 21014101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101410097 and 101410106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164052 + ... + 164668.

It is an arithmetic number, because the mean of its divisors is an integer number (4088070).

Almost surely, 2^101410120 is an apocalyptic number.

101410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130818240).

101410120 is an abundant number, since it is smaller than the sum of its proper divisors (160226360).

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

101410120 is a wasteful number, since it uses less digits than its factorization.

101410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101410120 is about 10070.2591823647. The cubic root of 101410120 is about 466.3304403519.

Adding to 101410120 its reverse (21014101), we get a palindrome (122424221).

The spelling of 101410120 in words is "one hundred one million, four hundred ten thousand, one hundred twenty".