100120101102112 has 96 divisors (see below), whose sum is σ = 244745598529152. Its totient is φ = 39257439105024.

The previous prime is 100120101102089. The next prime is 100120101102121. The reversal of 100120101102112 is 211201101021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100120101102092 and 100120101102101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151803258 + ... + 152461369.

It is an arithmetic number, because the mean of its divisors is an integer number (2549433318012).

Almost surely, 2^{100120101102112} is an apocalyptic number.

It is an amenable number.

100120101102112 is an abundant number, since it is smaller than the sum of its proper divisors (144625497427040).

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

100120101102112 is a wasteful number, since it uses less digits than its factorization.

100120101102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304264770 (or 304264762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100120101102112 its reverse (211201101021001), we get a palindrome (311321202123113).

The spelling of 100120101102112 in words is "one hundred trillion, one hundred twenty billion, one hundred one million, one hundred two thousand, one hundred twelve".