10032121131210 has 48 divisors (see below), whose sum is σ = 26085080829600. Its totient is φ = 2675071697760.

The previous prime is 10032121131203. The next prime is 10032121131217. The reversal of 10032121131210 is 1213112123001.

10032121131210 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 2 + 1 + 131 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (10032121131203) and next prime (10032121131217).

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

It is not an unprimeable number, because it can be changed into a prime (10032121131217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834656 + ... + 4840475.

It is an arithmetic number, because the mean of its divisors is an integer number (543439183950).

Almost surely, 2^{10032121131210} is an apocalyptic number.

10032121131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10032121131210 is an abundant number, since it is smaller than the sum of its proper divisors (16052959698390).

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

10032121131210 is a wasteful number, since it uses less digits than its factorization.

10032121131210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691843 (or 6691840 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10032121131210 its reverse (1213112123001), we get a palindrome (11245233254211).

The spelling of 10032121131210 in words is "ten trillion, thirty-two billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred ten".