10211133332100 has 144 divisors (see below), whose sum is σ = 29577001075776. Its totient is φ = 2719948800000.

The previous prime is 10211133332087. The next prime is 10211133332137. The reversal of 10211133332100 is 123333111201.

It is a happy number.

10211133332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369331572 + ... + 1369339028.

It is an arithmetic number, because the mean of its divisors is an integer number (205395840804).

Almost surely, 2^{10211133332100} is an apocalyptic number.

10211133332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211133332100 is an abundant number, since it is smaller than the sum of its proper divisors (19365867743676).

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

10211133332100 is a wasteful number, since it uses less digits than its factorization.

10211133332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11926 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10211133332100 its reverse (123333111201), we get a palindrome (10334466443301).

The spelling of 10211133332100 in words is "ten trillion, two hundred eleven billion, one hundred thirty-three million, three hundred thirty-two thousand, one hundred".