10100211201120 has 192 divisors, whose sum is σ = 33205633703424. Its totient is φ = 2575767490560.

The previous prime is 10100211201089. The next prime is 10100211201127. The reversal of 10100211201120 is 2110211200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100211201096 and 10100211201105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100211201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56358055 + ... + 56536985.

It is an arithmetic number, because the mean of its divisors is an integer number (172946008872).

Almost surely, 2^{10100211201120} is an apocalyptic number.

10100211201120 is a gapful number since it is divisible by the number (10) 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 10100211201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16602816851712).

10100211201120 is an abundant number, since it is smaller than the sum of its proper divisors (23105422502304).

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

10100211201120 is a wasteful number, since it uses less digits than its factorization.

10100211201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184085 (or 184077 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100211201120 its reverse (2110211200101), we get a palindrome (12210422401221).

The spelling of 10100211201120 in words is "ten trillion, one hundred billion, two hundred eleven million, two hundred one thousand, one hundred twenty".