102211111002101 has 32 divisors (see below), whose sum is σ = 108099272156160. Its totient is φ = 96514035494400.

The previous prime is 102211111002083. The next prime is 102211111002107. The reversal of 102211111002101 is 101200111112201.

It is a cyclic number.

It is not a de Polignac number, because 102211111002101 - 2⁶ = 102211111002037 is a prime.

It is a super-2 number, since 2×102211111002101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211111002107) 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 31 ways as a sum of consecutive naturals, for example, 118474385 + ... + 119333993.

It is an arithmetic number, because the mean of its divisors is an integer number (3378102254880).

Almost surely, 2^{102211111002101} is an apocalyptic number.

It is an amenable number.

102211111002101 is a deficient number, since it is larger than the sum of its proper divisors (5888161154059).

102211111002101 is a wasteful number, since it uses less digits than its factorization.

102211111002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860205.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102211111002101 its reverse (101200111112201), we get a palindrome (203411222114302).

The spelling of 102211111002101 in words is "one hundred two trillion, two hundred eleven billion, one hundred eleven million, two thousand, one hundred one".