102121126260 has 96 divisors (see below), whose sum is σ = 288915427584. Its totient is φ = 26949120000.

The previous prime is 102121126229. The next prime is 102121126291. The reversal of 102121126260 is 62621121201.

It is an interprime number because it is at equal distance from previous prime (102121126229) and next prime (102121126291).

It is a super-2 number, since 2×102121126260² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102121126260.

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, 19334820 + ... + 19340100.

It is an arithmetic number, because the mean of its divisors is an integer number (3009535704).

Almost surely, 2^102121126260 is an apocalyptic number.

102121126260 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 102121126260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144457713792).

102121126260 is an abundant number, since it is smaller than the sum of its proper divisors (186794301324).

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

102121126260 is a wasteful number, since it uses less digits than its factorization.

102121126260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 102121126260 its reverse (62621121201), we get a palindrome (164742247461).

The spelling of 102121126260 in words is "one hundred two billion, one hundred twenty-one million, one hundred twenty-six thousand, two hundred sixty".