102212100301000 has 64 divisors (see below), whose sum is σ = 239807387664000. Its totient is φ = 40776964401600.

The previous prime is 102212100300983. The next prime is 102212100301001. The reversal of 102212100301000 is 103001212201.

It is not an unprimeable number, because it can be changed into a prime (102212100301001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134465460 + ... + 135223459.

It is an arithmetic number, because the mean of its divisors is an integer number (3746990432250).

Almost surely, 2^{102212100301000} is an apocalyptic number.

102212100301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212100301000 is an abundant number, since it is smaller than the sum of its proper divisors (137595287363000).

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

102212100301000 is a wasteful number, since it uses less digits than its factorization.

102212100301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269689319 (or 269689305 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102212100301000 its reverse (103001212201), we get a palindrome (102315101513201).

The spelling of 102212100301000 in words is "one hundred two trillion, two hundred twelve billion, one hundred million, three hundred one thousand".