10253121102 has 224 divisors, whose sum is σ = 28406108160. Its totient is φ = 2709780480.

The previous prime is 10253121083. The next prime is 10253121127. The reversal of 10253121102 is 20112135201.

10253121102 is a `hidden beast` number, since 10 + 2 + 531 + 21 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7276174 + ... + 7277582.

Almost surely, 2^10253121102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10253121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14203054080).

10253121102 is an abundant number, since it is smaller than the sum of its proper divisors (18152987058).

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

10253121102 is a wasteful number, since it uses less digits than its factorization.

10253121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10253121102 its reverse (20112135201), we get a palindrome (30365256303).

The spelling of 10253121102 in words is "ten billion, two hundred fifty-three million, one hundred twenty-one thousand, one hundred two".