102202210001010 has 192 divisors, whose sum is σ = 295010854790400. Its totient is φ = 22194862103040.

The previous prime is 102202210000973. The next prime is 102202210001057. The reversal of 102202210001010 is 10100012202201.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13465180 + ... + 19639640.

It is an arithmetic number, because the mean of its divisors is an integer number (1536514868700).

Almost surely, 2^{102202210001010} is an apocalyptic number.

102202210001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202210001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147505427395200).

102202210001010 is an abundant number, since it is smaller than the sum of its proper divisors (192808644789390).

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

102202210001010 is a wasteful number, since it uses less digits than its factorization.

102202210001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174673 (or 6174650 counting only the distinct ones).

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

Adding to 102202210001010 its reverse (10100012202201), we get a palindrome (112302222203211).

The spelling of 102202210001010 in words is "one hundred two trillion, two hundred two billion, two hundred ten million, one thousand, ten".