102121101112212 has 768 divisors, whose sum is σ = 363591593164800. Its totient is φ = 24006465331200.

The previous prime is 102121101112211. The next prime is 102121101112223. The reversal of 102121101112212 is 212211101121201.

It is a happy number.

102121101112212 is a `hidden beast` number, since 10 + 212 + 110 + 111 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121101112211) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 387985989 + ... + 388249107.

It is an arithmetic number, because the mean of its divisors is an integer number (473426553600).

Almost surely, 2^{102121101112212} is an apocalyptic number.

102121101112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121101112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181795796582400).

102121101112212 is an abundant number, since it is smaller than the sum of its proper divisors (261470492052588).

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

102121101112212 is a wasteful number, since it uses less digits than its factorization.

102121101112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263293 (or 263285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102121101112212 its reverse (212211101121201), we get a palindrome (314332202233413).

The spelling of 102121101112212 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, two hundred twelve".