102121121212111 has 64 divisors (see below), whose sum is σ = 115171580160000. Its totient is φ = 89981417963520.

The previous prime is 102121121212087. The next prime is 102121121212141. The reversal of 102121121212111 is 111212121121201.

It is a cyclic number.

It is not a de Polignac number, because 102121121212111 - 2⁵ = 102121121212079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121121212141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6525720415 + ... + 6525736063.

It is an arithmetic number, because the mean of its divisors is an integer number (1799555940000).

Almost surely, 2^{102121121212111} is an apocalyptic number.

102121121212111 is a deficient number, since it is larger than the sum of its proper divisors (13050458947889).

102121121212111 is a wasteful number, since it uses less digits than its factorization.

102121121212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16552.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 102121121212111 its reverse (111212121121201), we get a palindrome (213333242333312).

The spelling of 102121121212111 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred eleven".