101412114120 has 96 divisors (see below), whose sum is σ = 340221323520. Its totient is φ = 26170865280.

The previous prime is 101412114101. The next prime is 101412114131. The reversal of 101412114120 is 21411214101.

101412114120 is a `hidden beast` number, since 1 + 0 + 1 + 41 + 211 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101412114093 and 101412114102.

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 23 ways as a sum of consecutive naturals, for example, 4532394 + ... + 4554713.

It is an arithmetic number, because the mean of its divisors is an integer number (3543972120).

Almost surely, 2^101412114120 is an apocalyptic number.

101412114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101412114120 is an abundant number, since it is smaller than the sum of its proper divisors (238809209400).

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

101412114120 is a wasteful number, since it uses less digits than its factorization.

101412114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087155 (or 9087148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101412114120 its reverse (21411214101), we get a palindrome (122823328221).

The spelling of 101412114120 in words is "one hundred one billion, four hundred twelve million, one hundred fourteen thousand, one hundred twenty".