2101121012004 has 96 divisors (see below), whose sum is σ = 5723492576256. Its totient is φ = 587544432000.

The previous prime is 2101121011967. The next prime is 2101121012009. The reversal of 2101121012004 is 4002101211012.

It is a super-2 number, since 2×2101121012004² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2101121012009) 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, 662247 + ... + 2154254.

It is an arithmetic number, because the mean of its divisors is an integer number (59619714336).

Almost surely, 2^{2101121012004} is an apocalyptic number.

It is an amenable number.

2101121012004 is an abundant number, since it is smaller than the sum of its proper divisors (3622371564252).

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

2101121012004 is a wasteful number, since it uses less digits than its factorization.

2101121012004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816705 (or 2816703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2101121012004 its reverse (4002101211012), we get a palindrome (6103222223016).

The spelling of 2101121012004 in words is "two trillion, one hundred one billion, one hundred twenty-one million, twelve thousand, four".