102120212202012 has 48 divisors (see below), whose sum is σ = 264763120608000. Its totient is φ = 34039168818480.

The previous prime is 102120212201963. The next prime is 102120212202013. The reversal of 102120212202012 is 210202212021201.

It is a happy number.

102120212202012 is a `hidden beast` number, since 10 + 212 + 0 + 21 + 220 + 201 + 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 (102120212202013) 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, 8425414 + ... + 16589997.

It is an arithmetic number, because the mean of its divisors is an integer number (5515898346000).

Almost surely, 2^{102120212202012} is an apocalyptic number.

102120212202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120212202012 is an abundant number, since it is smaller than the sum of its proper divisors (162642908405988).

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

102120212202012 is a wasteful number, since it uses less digits than its factorization.

102120212202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25053223 (or 25053215 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102120212202012 its reverse (210202212021201), we get a palindrome (312322424223213).

The spelling of 102120212202012 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve million, two hundred two thousand, twelve".