102120000212202 has 64 divisors (see below), whose sum is σ = 237969239537664. Its totient is φ = 28608816075840.

The previous prime is 102120000212201. The next prime is 102120000212203. The reversal of 102120000212202 is 202212000021201.

It is an interprime number because it is at equal distance from previous prime (102120000212201) and next prime (102120000212203).

It is not an unprimeable number, because it can be changed into a prime (102120000212201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10696624 + ... + 17850987.

It is an arithmetic number, because the mean of its divisors is an integer number (3718269367776).

Almost surely, 2^{102120000212202} is an apocalyptic number.

102120000212202 is an abundant number, since it is smaller than the sum of its proper divisors (135849239325462).

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

102120000212202 is a wasteful number, since it uses less digits than its factorization.

102120000212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28549283.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102120000212202 its reverse (202212000021201), we get a palindrome (304332000233403).

The spelling of 102120000212202 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve thousand, two hundred two".