2101121011120 has 40 divisors (see below), whose sum is σ = 5097502283616. Its totient is φ = 803907168768.

The previous prime is 2101121011117. The next prime is 2101121011177. The reversal of 2101121011120 is 211101211012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2101121011120.

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 7 ways as a sum of consecutive naturals, for example, 570954957 + ... + 570958636.

Almost surely, 2^{2101121011120} is an apocalyptic number.

2101121011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101121011120 is an abundant number, since it is smaller than the sum of its proper divisors (2996381272496).

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

2101121011120 is a wasteful number, since it uses less digits than its factorization.

2101121011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141913629 (or 1141913623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101121011120 its reverse (211101211012), we get a palindrome (2312222222132).

The spelling of 2101121011120 in words is "two trillion, one hundred one billion, one hundred twenty-one million, eleven thousand, one hundred twenty".