102121200111112 has 256 divisors, whose sum is σ = 262129932288000. Its totient is φ = 36145827514368.

The previous prime is 102121200111101. The next prime is 102121200111127. The reversal of 102121200111112 is 211111002121201.

It is a super-2 number, since 2×102121200111112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23101108 + ... + 27164380.

It is an arithmetic number, because the mean of its divisors is an integer number (1023945048000).

Almost surely, 2^{102121200111112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121200111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131064966144000).

102121200111112 is an abundant number, since it is smaller than the sum of its proper divisors (160008732176888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121200111112 is a wasteful number, since it uses less digits than its factorization.

102121200111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063420 (or 4063416 counting only the distinct ones).

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

Adding to 102121200111112 its reverse (211111002121201), we get a palindrome (313232202232313).

The spelling of 102121200111112 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred million, one hundred eleven thousand, one hundred twelve".