102211131040 has 192 divisors, whose sum is σ = 254215130400. Its totient is φ = 38781517824.

The previous prime is 102211130951. The next prime is 102211131053. The reversal of 102211131040 is 40131112201.

It can be written as a sum of positive squares in 16 ways, for example, as 33128368144 + 69082762896 = 182012^2 + 262836^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126342156 + ... + 126342964.

Almost surely, 2^102211131040 is an apocalyptic number.

102211131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127107565200).

102211131040 is an abundant number, since it is smaller than the sum of its proper divisors (152003999360).

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

102211131040 is a wasteful number, since it uses less digits than its factorization.

102211131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102211131040 its reverse (40131112201), we get a palindrome (142342243241).

The spelling of 102211131040 in words is "one hundred two billion, two hundred eleven million, one hundred thirty-one thousand, forty".