21002210020000 has 240 divisors, whose sum is σ = 56377299664224. Its totient is φ = 7635600000000.

The previous prime is 21002210019977. The next prime is 21002210020021. The reversal of 21002210020000 is 2001220012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2000014750 + ... + 2000025250.

Almost surely, 2^{21002210020000} is an apocalyptic number.

21002210020000 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 21002210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28188649832112).

21002210020000 is an abundant number, since it is smaller than the sum of its proper divisors (35375089644224).

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

21002210020000 is a wasteful number, since it uses less digits than its factorization.

21002210020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19633 (or 19610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21002210020000 its reverse (2001220012), we get a palindrome (21004211240012).

It can be divided in two parts, 21002 and 210020000, that multiplied together give a square (4410840040000 = 2100200²).

The spelling of 21002210020000 in words is "twenty-one trillion, two billion, two hundred ten million, twenty thousand".