102112122101001 has 16 divisors (see below), whose sum is σ = 138193645943808. Its totient is φ = 67054430819600.

The previous prime is 102112122100949. The next prime is 102112122101063. The reversal of 102112122101001 is 100101221211201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102112122101001 - 2¹⁷ = 102112121969929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112122101201) 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, 219474141 + ... + 219938906.

It is an arithmetic number, because the mean of its divisors is an integer number (8637102871488).

Almost surely, 2^{102112122101001} is an apocalyptic number.

It is an amenable number.

102112122101001 is a deficient number, since it is larger than the sum of its proper divisors (36081523842807).

102112122101001 is a wasteful number, since it uses less digits than its factorization.

102112122101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439414212.

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

Adding to 102112122101001 its reverse (100101221211201), we get a palindrome (202213343312202).

The spelling of 102112122101001 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one".