10121405532 has 192 divisors, whose sum is σ = 29429858304. Its totient is φ = 2641443840.

The previous prime is 10121405531. The next prime is 10121405533. The reversal of 10121405532 is 23550412101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10121405531) and next prime (10121405533).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121405531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11727733 + ... + 11728595.

It is an arithmetic number, because the mean of its divisors is an integer number (153280512).

Almost surely, 2^10121405532 is an apocalyptic number.

10121405532 is a gapful number since it is divisible by the number (12) 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 10121405532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714929152).

10121405532 is an abundant number, since it is smaller than the sum of its proper divisors (19308452772).

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

10121405532 is a wasteful number, since it uses less digits than its factorization.

10121405532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10121405532 its reverse (23550412101), we get a palindrome (33671817633).

The spelling of 10121405532 in words is "ten billion, one hundred twenty-one million, four hundred five thousand, five hundred thirty-two".