100120001101120 has 224 divisors, whose sum is σ = 320103948600576. Its totient is φ = 28805754470400.

The previous prime is 100120001101091. The next prime is 100120001101139. The reversal of 100120001101120 is 21101100021001.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 100120001101097 and 100120001101106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155960901 + ... + 156601540.

It is an arithmetic number, because the mean of its divisors is an integer number (1429035484824).

Almost surely, 2^{100120001101120} is an apocalyptic number.

100120001101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120001101120 is an abundant number, since it is smaller than the sum of its proper divisors (219983947499456).

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

100120001101120 is a wasteful number, since it uses less digits than its factorization.

100120001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312562489 (or 312562479 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100120001101120 its reverse (21101100021001), we get a palindrome (121221101122121).

The spelling of 100120001101120 in words is "one hundred trillion, one hundred twenty billion, one million, one hundred one thousand, one hundred twenty".