20011001211000 has 256 divisors, whose sum is σ = 69380495308800. Its totient is φ = 5335572816000.

The previous prime is 20011001210983. The next prime is 20011001211017. The reversal of 20011001211000 is 11210011002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20011001210983) and next prime (20011001211017).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227377005 + ... + 227464995.

It is an arithmetic number, because the mean of its divisors is an integer number (271017559800).

Almost surely, 2^{20011001211000} is an apocalyptic number.

20011001211000 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 20011001211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34690247654400).

20011001211000 is an abundant number, since it is smaller than the sum of its proper divisors (49369494097800).

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

20011001211000 is a wasteful number, since it uses less digits than its factorization.

20011001211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96444 (or 96424 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20011001211000 its reverse (11210011002), we get a palindrome (20022211222002).

The spelling of 20011001211000 in words is "twenty trillion, eleven billion, one million, two hundred eleven thousand".