103121101010001 has 16 divisors (see below), whose sum is σ = 138208703428224. Its totient is φ = 68390530233984.

The previous prime is 103121101009973. The next prime is 103121101010009. The reversal of 103121101010001 is 100010101121301.

It is not a de Polignac number, because 103121101010001 - 2²⁷ = 103120966792273 is a prime.

It is a super-2 number, since 2×103121101010001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103121101010009) 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, 4950916 + ... + 15190581.

It is an arithmetic number, because the mean of its divisors is an integer number (8638043964264).

Almost surely, 2^{103121101010001} is an apocalyptic number.

It is an amenable number.

103121101010001 is a deficient number, since it is larger than the sum of its proper divisors (35087602418223).

103121101010001 is a wasteful number, since it uses less digits than its factorization.

103121101010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20150360.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 103121101010001 its reverse (100010101121301), we get a palindrome (203131202131302).

The spelling of 103121101010001 in words is "one hundred three trillion, one hundred twenty-one billion, one hundred one million, ten thousand, one".