102121100010111 has 192 divisors, whose sum is σ = 177417303146496. Its totient is φ = 51743581747200.

The previous prime is 102121100010103. The next prime is 102121100010143. The reversal of 102121100010111 is 111010001121201.

It is not a de Polignac number, because 102121100010111 - 2³ = 102121100010103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121100010101) 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 191 ways as a sum of consecutive naturals, for example, 10099994946 + ... + 10100005056.

It is an arithmetic number, because the mean of its divisors is an integer number (924048453888).

Almost surely, 2^{102121100010111} is an apocalyptic number.

102121100010111 is a deficient number, since it is larger than the sum of its proper divisors (75296203136385).

102121100010111 is a wasteful number, since it uses less digits than its factorization.

102121100010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982 (or 11975 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102121100010111 its reverse (111010001121201), we get a palindrome (213131101131312).

The spelling of 102121100010111 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred million, ten thousand, one hundred eleven".