20211141310100 has 144 divisors (see below), whose sum is σ = 51229992539376. Its totient is φ = 6852292608000.

The previous prime is 20211141310097. The next prime is 20211141310109. The reversal of 20211141310100 is 101314111202.

It can be written as a sum of positive squares in 24 ways, for example, as 17809379053456 + 2401762256644 = 4220116^2 + 1549762^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211141310109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10246721 + ... + 12058920.

It is an arithmetic number, because the mean of its divisors is an integer number (355763837079).

Almost surely, 2^{20211141310100} is an apocalyptic number.

20211141310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211141310100 is an abundant number, since it is smaller than the sum of its proper divisors (31018851229276).

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

20211141310100 is a wasteful number, since it uses less digits than its factorization.

20211141310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22305726 (or 22305719 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 20211141310100 its reverse (101314111202), we get a palindrome (20312455421302).

The spelling of 20211141310100 in words is "twenty trillion, two hundred eleven billion, one hundred forty-one million, three hundred ten thousand, one hundred".