20101234214000 has 320 divisors, whose sum is σ = 52072782128640. Its totient is φ = 7478339686400.

The previous prime is 20101234213993. The next prime is 20101234214021. The reversal of 20101234214000 is 41243210102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1524315407 + ... + 1524328593.

It is an arithmetic number, because the mean of its divisors is an integer number (162727444152).

Almost surely, 2^{20101234214000} is an apocalyptic number.

20101234214000 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 20101234214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26036391064320).

20101234214000 is an abundant number, since it is smaller than the sum of its proper divisors (31971547914640).

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

20101234214000 is a wasteful number, since it uses less digits than its factorization.

20101234214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13753 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20101234214000 its reverse (41243210102), we get a palindrome (20142477424102).

The spelling of 20101234214000 in words is "twenty trillion, one hundred one billion, two hundred thirty-four million, two hundred fourteen thousand".