101000112120 has 192 divisors, whose sum is σ = 342156690720. Its totient is φ = 25814080512.

The previous prime is 101000112107. The next prime is 101000112127. The reversal of 101000112120 is 21211000101.

It is a happy number.

101000112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000112127) 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 47 ways as a sum of consecutive naturals, for example, 835854 + ... + 949026.

Almost surely, 2^101000112120 is an apocalyptic number.

101000112120 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 101000112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171078345360).

101000112120 is an abundant number, since it is smaller than the sum of its proper divisors (241156578600).

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

101000112120 is a wasteful number, since it uses less digits than its factorization.

101000112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113294 (or 113287 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000112120 its reverse (21211000101), we get a palindrome (122211112221).

It can be divided in two parts, 1010001 and 12120, that added together give a square (1022121 = 1011²).

The spelling of 101000112120 in words is "one hundred one billion, one hundred twelve thousand, one hundred twenty".