21011355310000 has 400 divisors, whose sum is σ = 56922470478720. Its totient is φ = 7444846080000.

The previous prime is 21011355309941. The next prime is 21011355310019. The reversal of 21011355310000 is 1355311012.

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

It is a super-2 number, since 2×21011355310000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2048084871 + ... + 2048095129.

Almost surely, 2^{21011355310000} is an apocalyptic number.

21011355310000 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 21011355310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28461235239360).

21011355310000 is an abundant number, since it is smaller than the sum of its proper divisors (35911115168720).

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

21011355310000 is a wasteful number, since it uses less digits than its factorization.

21011355310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 21011355310000 in words is "twenty-one trillion, eleven billion, three hundred fifty-five million, three hundred ten thousand".