100101121012111 has 8 divisors (see below), whose sum is σ = 105370055143920. Its totient is φ = 94832232288192.

The previous prime is 100101121012063. The next prime is 100101121012129. The reversal of 100101121012111 is 111210121101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101121012111 - 2⁴¹ = 97902097756559 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101121012091 and 100101121012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101121012411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6779740 + ... + 15689713.

It is an arithmetic number, because the mean of its divisors is an integer number (13171256892990).

Almost surely, 2^{100101121012111} is an apocalyptic number.

100101121012111 is a deficient number, since it is larger than the sum of its proper divisors (5268934131809).

100101121012111 is a wasteful number, since it uses less digits than its factorization.

100101121012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22703945.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100101121012111 its reverse (111210121101001), we get a palindrome (211311242113112).

The spelling of 100101121012111 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, twelve thousand, one hundred eleven".