21111200110000 has 400 divisors, whose sum is σ = 68626373131008. Its totient is φ = 6073948800000.

The previous prime is 21111200109953. The next prime is 21111200110009. The reversal of 21111200110000 is 1100211112.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21111200110009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8955495 + ... + 11064505.

Almost surely, 2^{21111200110000} is an apocalyptic number.

21111200110000 is a gapful number since it is divisible by the number (20) 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 21111200110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34313186565504).

21111200110000 is an abundant number, since it is smaller than the sum of its proper divisors (47515173021008).

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

21111200110000 is a wasteful number, since it uses less digits than its factorization.

21111200110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109070 (or 2109049 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21111200110000 its reverse (1100211112), we get a palindrome (21112300321112).

The spelling of 21111200110000 in words is "twenty-one trillion, one hundred eleven billion, two hundred million, one hundred ten thousand".