10132211001000 has 192 divisors, whose sum is σ = 34747623368640. Its totient is φ = 2456293488000.

The previous prime is 10132211000921. The next prime is 10132211001007. The reversal of 10132211001000 is 10011223101.

10132211001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10132211001007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13593214 + ... + 14319213.

It is an arithmetic number, because the mean of its divisors is an integer number (180977205045).

Almost surely, 2^{10132211001000} is an apocalyptic number.

10132211001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132211001000 is an abundant number, since it is smaller than the sum of its proper divisors (24615412367640).

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

10132211001000 is a wasteful number, since it uses less digits than its factorization.

10132211001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27912473 (or 27912448 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10132211001000 its reverse (10011223101), we get a palindrome (10142222224101).

The spelling of 10132211001000 in words is "ten trillion, one hundred thirty-two billion, two hundred eleven million, one thousand".