102110012202 has 128 divisors (see below), whose sum is σ = 238277293056. Its totient is φ = 28828800000.

The previous prime is 102110012201. The next prime is 102110012203. The reversal of 102110012202 is 202210011201.

It is an interprime number because it is at equal distance from previous prime (102110012201) and next prime (102110012203).

It is not an unprimeable number, because it can be changed into a prime (102110012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97154577 + ... + 97155627.

It is an arithmetic number, because the mean of its divisors is an integer number (1861541352).

Almost surely, 2^102110012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119138646528).

102110012202 is an abundant number, since it is smaller than the sum of its proper divisors (136167280854).

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

102110012202 is a wasteful number, since it uses less digits than its factorization.

102110012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102110012202 its reverse (202210011201), we get a palindrome (304320023403).

The spelling of 102110012202 in words is "one hundred two billion, one hundred ten million, twelve thousand, two hundred two".