101002120110001 has 16 divisors (see below), whose sum is σ = 110296070998848. Its totient is φ = 91726832462400.

The previous prime is 101002120109951. The next prime is 101002120110011. The reversal of 101002120110001 is 100011021200101.

It is a cyclic number.

It is not a de Polignac number, because 101002120110001 - 2³⁵ = 100967760371633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101002120110001.

It is not an unprimeable number, because it can be changed into a prime (101002120110011) 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, 339061015 + ... + 339358771.

It is an arithmetic number, because the mean of its divisors is an integer number (6893504437428).

Almost surely, 2^{101002120110001} is an apocalyptic number.

101002120110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002120110001 is a deficient number, since it is larger than the sum of its proper divisors (9293950888847).

101002120110001 is a wasteful number, since it uses less digits than its factorization.

101002120110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328992.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101002120110001 its reverse (100011021200101), we get a palindrome (201013141310102).

The spelling of 101002120110001 in words is "one hundred one trillion, two billion, one hundred twenty million, one hundred ten thousand, one".