102122002210101 has 8 divisors (see below), whose sum is σ = 136167331717824. Its totient is φ = 68079003754560.

The previous prime is 102122002210037. The next prime is 102122002210127. The reversal of 102122002210101 is 101012200221201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102122002210101 - 2⁶ = 102122002210037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122002210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582660820 + ... + 582836061.

It is an arithmetic number, because the mean of its divisors is an integer number (17020916464728).

Almost surely, 2^{102122002210101} is an apocalyptic number.

It is an amenable number.

102122002210101 is a deficient number, since it is larger than the sum of its proper divisors (34045329507723).

102122002210101 is a wasteful number, since it uses less digits than its factorization.

102122002210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165526091.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102122002210101 its reverse (101012200221201), we get a palindrome (203134202431302).

The spelling of 102122002210101 in words is "one hundred two trillion, one hundred twenty-two billion, two million, two hundred ten thousand, one hundred one".