102211203212440 has 128 divisors (see below), whose sum is σ = 264925889740800. Its totient is φ = 34764287685120.

The previous prime is 102211203212431. The next prime is 102211203212483. The reversal of 102211203212440 is 44212302112201.

It is a congruent number.

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, 353357391 + ... + 353646529.

It is an arithmetic number, because the mean of its divisors is an integer number (2069733513600).

Almost surely, 2^{102211203212440} is an apocalyptic number.

102211203212440 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 102211203212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132462944870400).

102211203212440 is an abundant number, since it is smaller than the sum of its proper divisors (162714686528360).

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

102211203212440 is a wasteful number, since it uses less digits than its factorization.

102211203212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299225 (or 299221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 102211203212440 its reverse (44212302112201), we get a palindrome (146423505324641).

The spelling of 102211203212440 in words is "one hundred two trillion, two hundred eleven billion, two hundred three million, two hundred twelve thousand, four hundred forty".