10042511041101 has 64 divisors (see below), whose sum is σ = 17240802877440. Its totient is φ = 5048521167360.

The previous prime is 10042511041033. The next prime is 10042511041109. The reversal of 10042511041101 is 10114011524001.

It is not a de Polignac number, because 10042511041101 - 2⁷ = 10042511040973 is a prime.

It is a super-2 number, since 2×10042511041101² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042511041109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4230246 + ... + 6162791.

It is an arithmetic number, because the mean of its divisors is an integer number (269387544960).

Almost surely, 2^{10042511041101} is an apocalyptic number.

10042511041101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10042511041101 is a deficient number, since it is larger than the sum of its proper divisors (7198291836339).

10042511041101 is a wasteful number, since it uses less digits than its factorization.

10042511041101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393194.

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 10042511041101 its reverse (10114011524001), we get a palindrome (20156522565102).

The spelling of 10042511041101 in words is "ten trillion, forty-two billion, five hundred eleven million, forty-one thousand, one hundred one".