100201101112001 has 16 divisors (see below), whose sum is σ = 106131213321984. Its totient is φ = 94274983943424.

The previous prime is 100201101111973. The next prime is 100201101112009. The reversal of 100201101112001 is 100211101102001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201101112001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100201101112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1866158711 + ... + 1866212403.

It is an arithmetic number, because the mean of its divisors is an integer number (6633200832624).

Almost surely, 2^{100201101112001} is an apocalyptic number.

It is an amenable number.

100201101112001 is a deficient number, since it is larger than the sum of its proper divisors (5930112209983).

100201101112001 is a wasteful number, since it uses less digits than its factorization.

100201101112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88840.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100201101112001 its reverse (100211101102001), we get a palindrome (200412202214002).

The spelling of 100201101112001 in words is "one hundred trillion, two hundred one billion, one hundred one million, one hundred twelve thousand, one".