102011222121001 has 32 divisors (see below), whose sum is σ = 108953634816000. Its totient is φ = 95235906644928.

The previous prime is 102011222120999. The next prime is 102011222121013. The reversal of 102011222121001 is 100121222110201.

It is a cyclic number.

It is not a de Polignac number, because 102011222121001 - 2¹ = 102011222120999 is a prime.

It is a super-2 number, since 2×102011222121001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102011222121031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665493195 + ... + 665646463.

It is an arithmetic number, because the mean of its divisors is an integer number (3404801088000).

Almost surely, 2^{102011222121001} is an apocalyptic number.

It is an amenable number.

102011222121001 is a deficient number, since it is larger than the sum of its proper divisors (6942412694999).

102011222121001 is a wasteful number, since it uses less digits than its factorization.

102011222121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155053.

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

Adding to 102011222121001 its reverse (100121222110201), we get a palindrome (202132444231202).

The spelling of 102011222121001 in words is "one hundred two trillion, eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, one".