102100212212000 has 384 divisors, whose sum is σ = 269429228752320. Its totient is φ = 37886695833600.

The previous prime is 102100212211997. The next prime is 102100212212021. The reversal of 102100212212000 is 212212001201.

It can be written as a sum of positive squares in 32 ways, for example, as 1005150615184 + 101095061596816 = 1002572^2 + 10054604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8880590252 + ... + 8880601748.

Almost surely, 2^{102100212212000} is an apocalyptic number.

102100212212000 is a gapful number since it is divisible by the number (10) 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 102100212212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134714614376160).

102100212212000 is an abundant number, since it is smaller than the sum of its proper divisors (167329016540320).

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

102100212212000 is a wasteful number, since it uses less digits than its factorization.

102100212212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13401 (or 13383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102100212212000 its reverse (212212001201), we get a palindrome (102312424213201).

The spelling of 102100212212000 in words is "one hundred two trillion, one hundred billion, two hundred twelve million, two hundred twelve thousand".