100111120112001 has 192 divisors, whose sum is σ = 153920671946496. Its totient is φ = 57611641651200.

The previous prime is 100111120111903. The next prime is 100111120112009. The reversal of 100111120112001 is 100211021111001.

It is not a de Polignac number, because 100111120112001 - 2⁹ = 100111120111489 is a prime.

It is a super-2 number, since 2×100111120112001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100111120112009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17747049141 + ... + 17747054781.

It is an arithmetic number, because the mean of its divisors is an integer number (801670166388).

Almost surely, 2^{100111120112001} is an apocalyptic number.

It is an amenable number.

100111120112001 is a deficient number, since it is larger than the sum of its proper divisors (53809551834495).

100111120112001 is a wasteful number, since it uses less digits than its factorization.

100111120112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111120112001 its reverse (100211021111001), we get a palindrome (200322141223002).

The spelling of 100111120112001 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, one hundred twelve thousand, one".