102132120201001 has 16 divisors (see below), whose sum is σ = 112599069735168. Its totient is φ = 91863497952000.

The previous prime is 102132120200989. The next prime is 102132120201047. The reversal of 102132120201001 is 100102021231201.

It is a cyclic number.

It is not a de Polignac number, because 102132120201001 - 2¹⁵ = 102132120168233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132120211001) 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, 30719856 + ... + 33881761.

It is an arithmetic number, because the mean of its divisors is an integer number (7037441858448).

Almost surely, 2^{102132120201001} is an apocalyptic number.

102132120201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102132120201001 is a deficient number, since it is larger than the sum of its proper divisors (10466949534167).

102132120201001 is a wasteful number, since it uses less digits than its factorization.

102132120201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64603152.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102132120201001 its reverse (100102021231201), we get a palindrome (202234141432202).

The spelling of 102132120201001 in words is "one hundred two trillion, one hundred thirty-two billion, one hundred twenty million, two hundred one thousand, one".