10021111100000 has 1728 divisors, whose sum is σ = 35189547724800. Its totient is φ = 2725747200000.

The previous prime is 10021111099999. The next prime is 10021111100003. The reversal of 10021111100000 is 111112001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021111100003) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20920899761 + ... + 20920900239.

It is an arithmetic number, because the mean of its divisors is an integer number (20364321600).

Almost surely, 2^{10021111100000} is an apocalyptic number.

10021111100000 is a gapful number since it is divisible by the number (10) 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 10021111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17594773862400).

10021111100000 is an abundant number, since it is smaller than the sum of its proper divisors (25168436624800).

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

10021111100000 is a wasteful number, since it uses less digits than its factorization.

10021111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10021111100000 its reverse (111112001), we get a palindrome (10021222212001).

It can be divided in two parts, 100211 and 11100000, that added together give a palindrome (11200211).

The spelling of 10021111100000 in words is "ten trillion, twenty-one billion, one hundred eleven million, one hundred thousand".