102110212121001 has 128 divisors (see below), whose sum is σ = 168527696117760. Its totient is φ = 53689634611200.

The previous prime is 102110212120967. The next prime is 102110212121009. The reversal of 102110212121001 is 100121212011201.

It is a happy number.

It is not a de Polignac number, because 102110212121001 - 2¹¹ = 102110212118953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102110212121009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6352895101 + ... + 6352911173.

It is an arithmetic number, because the mean of its divisors is an integer number (1316622625920).

Almost surely, 2^{102110212121001} is an apocalyptic number.

It is an amenable number.

102110212121001 is a deficient number, since it is larger than the sum of its proper divisors (66417483996759).

102110212121001 is a wasteful number, since it uses less digits than its factorization.

102110212121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17847.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102110212121001 its reverse (100121212011201), we get a palindrome (202231424132202).

The spelling of 102110212121001 in words is "one hundred two trillion, one hundred ten billion, two hundred twelve million, one hundred twenty-one thousand, one".