101001110011004 has 48 divisors (see below), whose sum is σ = 212818335072000. Its totient is φ = 40972402907136.

The previous prime is 101001110011003. The next prime is 101001110011007. The reversal of 101001110011004 is 400110011100101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001110011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81716054 + ... + 82942845.

It is an arithmetic number, because the mean of its divisors is an integer number (4433715314000).

Almost surely, 2^{101001110011004} is an apocalyptic number.

101001110011004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101001110011004 is an abundant number, since it is smaller than the sum of its proper divisors (111817225060996).

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

101001110011004 is a wasteful number, since it uses less digits than its factorization.

101001110011004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164660082 (or 164660080 counting only the distinct ones).

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

Adding to 101001110011004 its reverse (400110011100101), we get a palindrome (501111121111105).

The spelling of 101001110011004 in words is "one hundred one trillion, one billion, one hundred ten million, eleven thousand, four".