101100040120 has 64 divisors (see below), whose sum is σ = 235437451200. Its totient is φ = 39025889280.

The previous prime is 101100040037. The next prime is 101100040147. The reversal of 101100040120 is 21040001101.

It is a super-2 number, since 2×101100040120² (a number of 23 digits) contains 22 as substring.

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 = 101100040097 and 101100040106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400040 + ... + 2441800.

It is an arithmetic number, because the mean of its divisors is an integer number (3678710175).

Almost surely, 2^101100040120 is an apocalyptic number.

101100040120 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 101100040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117718725600).

101100040120 is an abundant number, since it is smaller than the sum of its proper divisors (134337411080).

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

101100040120 is a wasteful number, since it uses less digits than its factorization.

101100040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43888 (or 43884 counting only the distinct ones).

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

Adding to 101100040120 its reverse (21040001101), we get a palindrome (122140041221).

The spelling of 101100040120 in words is "one hundred one billion, one hundred million, forty thousand, one hundred twenty".