102120201120001 has 16 divisors (see below), whose sum is σ = 104618180102400. Its totient is φ = 99656900259840.

The previous prime is 102120201119957. The next prime is 102120201120017. The reversal of 102120201120001 is 100021102021201.

It is a cyclic number.

It is not a de Polignac number, because 102120201120001 - 2¹³ = 102120201111809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102120201120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15997720 + ... + 21451513.

It is an arithmetic number, because the mean of its divisors is an integer number (6538636256400).

Almost surely, 2^{102120201120001} is an apocalyptic number.

It is an amenable number.

102120201120001 is a deficient number, since it is larger than the sum of its proper divisors (2497978982399).

102120201120001 is a wasteful number, since it uses less digits than its factorization.

102120201120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37449696.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102120201120001 its reverse (100021102021201), we get a palindrome (202141303141202).

The spelling of 102120201120001 in words is "one hundred two trillion, one hundred twenty billion, two hundred one million, one hundred twenty thousand, one".