20211102101120 has 512 divisors, whose sum is σ = 58538725539840. Its totient is φ = 6526664294400.

The previous prime is 20211102100999. The next prime is 20211102101153. The reversal of 20211102101120 is 2110120111202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20211102101095 and 20211102101104.

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, 1181443607 + ... + 1181460713.

It is an arithmetic number, because the mean of its divisors is an integer number (114333448320).

Almost surely, 2^{20211102101120} is an apocalyptic number.

20211102101120 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 20211102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29269362769920).

20211102101120 is an abundant number, since it is smaller than the sum of its proper divisors (38327623438720).

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

20211102101120 is a wasteful number, since it uses less digits than its factorization.

20211102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17392 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20211102101120 its reverse (2110120111202), we get a palindrome (22321222212322).

The spelling of 20211102101120 in words is "twenty trillion, two hundred eleven billion, one hundred two million, one hundred one thousand, one hundred twenty".