102022221101001 has 8 divisors (see below), whose sum is σ = 136930486599744. Its totient is φ = 67564384834800.

The previous prime is 102022221100993. The next prime is 102022221101051. The reversal of 102022221101001 is 100101122220201.

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

It is not a de Polignac number, because 102022221101001 - 2³ = 102022221100993 is a prime.

It is a super-3 number, since 3×102022221101001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102022221101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112607307606 + ... + 112607308511.

It is an arithmetic number, because the mean of its divisors is an integer number (17116310824968).

Almost surely, 2^{102022221101001} is an apocalyptic number.

It is an amenable number.

102022221101001 is a deficient number, since it is larger than the sum of its proper divisors (34908265498743).

102022221101001 is a wasteful number, since it uses less digits than its factorization.

102022221101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225214616271.

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

Adding to 102022221101001 its reverse (100101122220201), we get a palindrome (202123343321202).

The spelling of 102022221101001 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, one hundred one thousand, one".