102002122101 has 32 divisors (see below), whose sum is σ = 149903084160. Its totient is φ = 61179872000.

The previous prime is 102002122091. The next prime is 102002122129. The reversal of 102002122101 is 101221200201.

It is a cyclic number.

It is not a de Polignac number, because 102002122101 - 2¹⁸ = 102001859957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002121101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9290251 + ... + 9301223.

It is an arithmetic number, because the mean of its divisors is an integer number (4684471380).

Almost surely, 2^102002122101 is an apocalyptic number.

102002122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102002122101 is a deficient number, since it is larger than the sum of its proper divisors (47900962059).

102002122101 is a wasteful number, since it uses less digits than its factorization.

102002122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13877.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102002122101 its reverse (101221200201), we get a palindrome (203223322302).

The spelling of 102002122101 in words is "one hundred two billion, two million, one hundred twenty-two thousand, one hundred one".