102122221012101 has 48 divisors (see below), whose sum is σ = 160635187627200. Its totient is φ = 62271308300544.

The previous prime is 102122221012099. The next prime is 102122221012121. The reversal of 102122221012101 is 101210122221201.

102122221012101 is a `hidden beast` number, since 1 + 0 + 21 + 222 + 210 + 1 + 210 + 1 = 666.

It is not a de Polignac number, because 102122221012101 - 2¹ = 102122221012099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122221012121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110158825 + ... + 111082001.

It is an arithmetic number, because the mean of its divisors is an integer number (3346566408900).

Almost surely, 2^{102122221012101} is an apocalyptic number.

It is an amenable number.

102122221012101 is a deficient number, since it is larger than the sum of its proper divisors (58512966615099).

102122221012101 is a wasteful number, since it uses less digits than its factorization.

102122221012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945538 (or 945535 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122221012101 its reverse (101210122221201), we get a palindrome (203332343233302).

The spelling of 102122221012101 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-one million, twelve thousand, one hundred one".