102101102202 has 96 divisors (see below), whose sum is σ = 233993313792. Its totient is φ = 29644560000.

The previous prime is 102101102197. The next prime is 102101102209. The reversal of 102101102202 is 202201101201.

It is not an unprimeable number, because it can be changed into a prime (102101102209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2250648 + ... + 2295564.

It is an arithmetic number, because the mean of its divisors is an integer number (2437430352).

Almost surely, 2^102101102202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116996656896).

102101102202 is an abundant number, since it is smaller than the sum of its proper divisors (131892211590).

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

102101102202 is a wasteful number, since it uses less digits than its factorization.

102101102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45076 (or 45065 counting only the distinct ones).

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

Adding to 102101102202 its reverse (202201101201), we get a palindrome (304302203403).

The spelling of 102101102202 in words is "one hundred two billion, one hundred one million, one hundred two thousand, two hundred two".