102001122101101 has 16 divisors (see below), whose sum is σ = 103730168880000. Its totient is φ = 100273921070400.

The previous prime is 102001122101069. The next prime is 102001122101113. The reversal of 102001122101101 is 101101221100201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102001122101101 - 2⁵ = 102001122101069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001122801101) 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, 1374289170 + ... + 1374363388.

It is an arithmetic number, because the mean of its divisors is an integer number (6483135555000).

Almost surely, 2^{102001122101101} is an apocalyptic number.

It is an amenable number.

102001122101101 is a deficient number, since it is larger than the sum of its proper divisors (1729046778899).

102001122101101 is an equidigital number, since it uses as much as digits as its factorization.

102001122101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86340.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102001122101101 its reverse (101101221100201), we get a palindrome (203102343201302).

The spelling of 102001122101101 in words is "one hundred two trillion, one billion, one hundred twenty-two million, one hundred one thousand, one hundred one".