10211104013004 has 72 divisors (see below), whose sum is σ = 26320312392192. Its totient is φ = 3336699225600.

The previous prime is 10211104012979. The next prime is 10211104013129. The reversal of 10211104013004 is 40031040111201.

10211104013004 is a `hidden beast` number, since 10 + 211 + 10 + 401 + 30 + 0 + 4 = 666.

10211104013004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10211104013004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63477 + ... + 4519539.

It is an arithmetic number, because the mean of its divisors is an integer number (365559894336).

Almost surely, 2^{10211104013004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211104013004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160156196096).

10211104013004 is an abundant number, since it is smaller than the sum of its proper divisors (16109208379188).

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

10211104013004 is a wasteful number, since it uses less digits than its factorization.

10211104013004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457327 (or 4457322 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10211104013004 its reverse (40031040111201), we get a palindrome (50242144124205).

The spelling of 10211104013004 in words is "ten trillion, two hundred eleven billion, one hundred four million, thirteen thousand, four".