10021012211100 has 144 divisors (see below), whose sum is σ = 31631172725376. Its totient is φ = 2429243040000.

The previous prime is 10021012211087. The next prime is 10021012211107. The reversal of 10021012211100 is 111221012001.

It is a super-3 number, since 3×10021012211100³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021012211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129654667 + ... + 129731933.

It is an arithmetic number, because the mean of its divisors is an integer number (219660921704).

Almost surely, 2^{10021012211100} is an apocalyptic number.

10021012211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021012211100 is an abundant number, since it is smaller than the sum of its proper divisors (21610160514276).

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

10021012211100 is a wasteful number, since it uses less digits than its factorization.

10021012211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116596 (or 116589 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021012211100 its reverse (111221012001), we get a palindrome (10132233223101).

The spelling of 10021012211100 in words is "ten trillion, twenty-one billion, twelve million, two hundred eleven thousand, one hundred".