10141122034401 has 16 divisors (see below), whose sum is σ = 13648019284224. Its totient is φ = 6697487831184.

The previous prime is 10141122034397. The next prime is 10141122034423. The reversal of 10141122034401 is 10443022114101.

It is a happy number.

It is not a de Polignac number, because 10141122034401 - 2² = 10141122034397 is a prime.

It is a super-2 number, since 2×10141122034401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10141122034441) 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, 52342830 + ... + 52536216.

It is an arithmetic number, because the mean of its divisors is an integer number (853001205264).

Almost surely, 2^{10141122034401} is an apocalyptic number.

It is an amenable number.

10141122034401 is a deficient number, since it is larger than the sum of its proper divisors (3506897249823).

10141122034401 is a wasteful number, since it uses less digits than its factorization.

10141122034401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356860.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10141122034401 its reverse (10443022114101), we get a palindrome (20584144148502).

The spelling of 10141122034401 in words is "ten trillion, one hundred forty-one billion, one hundred twenty-two million, thirty-four thousand, four hundred one".