20100201408000 has 1920 divisors, whose sum is σ = 86789495295360. Its totient is φ = 4572404121600.

The previous prime is 20100201407987. The next prime is 20100201408013. The reversal of 20100201408000 is 80410200102.

It is an interprime number because it is at equal distance from previous prime (20100201407987) and next prime (20100201408013).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23454143572 + ... + 23454144428.

It is an arithmetic number, because the mean of its divisors is an integer number (45202862133).

Almost surely, 2^{20100201408000} is an apocalyptic number.

20100201408000 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 20100201408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43394747647680).

20100201408000 is an abundant number, since it is smaller than the sum of its proper divisors (66689293887360).

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

20100201408000 is an equidigital number, since it uses as much as digits as its factorization.

20100201408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20100201408000 its reverse (80410200102), we get a palindrome (20180611608102).

The spelling of 20100201408000 in words is "twenty trillion, one hundred billion, two hundred one million, four hundred eight thousand".