102212122101001 has 8 divisors (see below), whose sum is σ = 112382118503424. Its totient is φ = 92188456582320.

The previous prime is 102212122100969. The next prime is 102212122101031. The reversal of 102212122101001 is 100101221212201.

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

It is a cyclic number.

It is not a de Polignac number, because 102212122101001 - 2⁵ = 102212122100969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102212122101031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36582719470 + ... + 36582722263.

It is an arithmetic number, because the mean of its divisors is an integer number (14047764812928).

Almost surely, 2^{102212122101001} is an apocalyptic number.

102212122101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212122101001 is a deficient number, since it is larger than the sum of its proper divisors (10169996402423).

102212122101001 is a wasteful number, since it uses less digits than its factorization.

102212122101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73165441871.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102212122101001 its reverse (100101221212201), we get a palindrome (202313343313202).

The spelling of 102212122101001 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one".