10211001101120 has 56 divisors (see below), whose sum is σ = 24316667000808. Its totient is φ = 4084111411200.

The previous prime is 10211001101113. The next prime is 10211001101129. The reversal of 10211001101120 is 2110110011201.

10211001101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 234550364416 + 9976450736704 = 484304^2 + 3158552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211001101129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3428810 + ... + 5672630.

It is an arithmetic number, because the mean of its divisors is an integer number (434226196443).

Almost surely, 2^{10211001101120} is an apocalyptic number.

10211001101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211001101120 is an abundant number, since it is smaller than the sum of its proper divisors (14105665899688).

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

10211001101120 is a wasteful number, since it uses less digits than its factorization.

10211001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258059 (or 2258049 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211001101120 its reverse (2110110011201), we get a palindrome (12321111112321).

The spelling of 10211001101120 in words is "ten trillion, two hundred eleven billion, one million, one hundred one thousand, one hundred twenty".