10115412021132 has 192 divisors, whose sum is σ = 26274046740480. Its totient is φ = 3003369062400.

The previous prime is 10115412021131. The next prime is 10115412021149. The reversal of 10115412021132 is 23112021451101.

It is a happy number.

It is a super-2 number, since 2×10115412021132² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10115412021131) 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, 2368392157 + ... + 2368396427.

It is an arithmetic number, because the mean of its divisors is an integer number (136843993440).

Almost surely, 2^{10115412021132} is an apocalyptic number.

10115412021132 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 10115412021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137023370240).

10115412021132 is an abundant number, since it is smaller than the sum of its proper divisors (16158634719348).

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

10115412021132 is a wasteful number, since it uses less digits than its factorization.

10115412021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 10115412021132 its reverse (23112021451101), we get a palindrome (33227433472233).

The spelling of 10115412021132 in words is "ten trillion, one hundred fifteen billion, four hundred twelve million, twenty-one thousand, one hundred thirty-two".