101110121202001 has 8 divisors (see below), whose sum is σ = 107143490205000. Its totient is φ = 95086276067328.

The previous prime is 101110121201983. The next prime is 101110121202007. The reversal of 101110121202001 is 100202121011101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2401942032400 + 98708179169601 = 1549820^2 + 9935199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101110121202001 - 2²³ = 101110112813393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110121202007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2380945216 + ... + 2380987681.

It is an arithmetic number, because the mean of its divisors is an integer number (13392936275625).

Almost surely, 2^{101110121202001} is an apocalyptic number.

It is an amenable number.

101110121202001 is a deficient number, since it is larger than the sum of its proper divisors (6033369002999).

101110121202001 is a wasteful number, since it uses less digits than its factorization.

101110121202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761934163.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101110121202001 its reverse (100202121011101), we get a palindrome (201312242213102).

The spelling of 101110121202001 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-one million, two hundred two thousand, one".