102120102210010 has 64 divisors (see below), whose sum is σ = 186039328262400. Its totient is φ = 40357010165760.

The previous prime is 102120102209989. The next prime is 102120102210017. The reversal of 102120102210010 is 10012201021201.

It is a super-2 number, since 2×102120102210010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102120102210017) 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, 1975867629 + ... + 1975919311.

It is an arithmetic number, because the mean of its divisors is an integer number (2906864504100).

Almost surely, 2^{102120102210010} is an apocalyptic number.

102120102210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120102210010 is a deficient number, since it is larger than the sum of its proper divisors (83919226052390).

102120102210010 is a wasteful number, since it uses less digits than its factorization.

102120102210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58903.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102120102210010 its reverse (10012201021201), we get a palindrome (112132303231211).

The spelling of 102120102210010 in words is "one hundred two trillion, one hundred twenty billion, one hundred two million, two hundred ten thousand, ten".