102122101001 has 16 divisors (see below), whose sum is σ = 103049497344. Its totient is φ = 101199780864.

The previous prime is 102122100967. The next prime is 102122101031. The reversal of 102122101001 is 100101221201.

It is a cyclic number.

It is not a de Polignac number, because 102122101001 - 2¹⁸ = 102121838857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102122101031) 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, 92585216 + ... + 92586318.

It is an arithmetic number, because the mean of its divisors is an integer number (6440593584).

Almost surely, 2^102122101001 is an apocalyptic number.

It is an amenable number.

102122101001 is a deficient number, since it is larger than the sum of its proper divisors (927396343).

102122101001 is a wasteful number, since it uses less digits than its factorization.

102122101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102122101001 its reverse (100101221201), we get a palindrome (202223322202).

The spelling of 102122101001 in words is "one hundred two billion, one hundred twenty-two million, one hundred one thousand, one".