102220122011001 has 16 divisors (see below), whose sum is σ = 136488080929920. Its totient is φ = 68049514471680.

The previous prime is 102220122010991. The next prime is 102220122011011. The reversal of 102220122011001 is 100110221022201.

It is an interprime number because it is at equal distance from previous prime (102220122010991) and next prime (102220122011011).

It is not a de Polignac number, because 102220122011001 - 2⁵ = 102220122010969 is a prime.

It is a super-2 number, since 2×102220122011001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102220122011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422685 + ... + 14304506.

It is an arithmetic number, because the mean of its divisors is an integer number (8530505058120).

Almost surely, 2^{102220122011001} is an apocalyptic number.

It is an amenable number.

102220122011001 is a deficient number, since it is larger than the sum of its proper divisors (34267958918919).

102220122011001 is a wasteful number, since it uses less digits than its factorization.

102220122011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14730496.

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

Adding to 102220122011001 its reverse (100110221022201), we get a palindrome (202330343033202).

The spelling of 102220122011001 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-two million, eleven thousand, one".