10201000101121 has 16 divisors (see below), whose sum is σ = 11221678522368. Its totient is φ = 9241812003600.

The previous prime is 10201000101077. The next prime is 10201000101179. The reversal of 10201000101121 is 12110100010201.

It is not a de Polignac number, because 10201000101121 - 2¹³ = 10201000092929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201000101098 and 10201000101107.

It is not an unprimeable number, because it can be changed into a prime (10201000101221) 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, 152170245 + ... + 152237266.

It is an arithmetic number, because the mean of its divisors is an integer number (701354907648).

Almost surely, 2^{10201000101121} is an apocalyptic number.

It is an amenable number.

10201000101121 is a deficient number, since it is larger than the sum of its proper divisors (1020678421247).

10201000101121 is a wasteful number, since it uses less digits than its factorization.

10201000101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304407612.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201000101121 its reverse (12110100010201), we get a palindrome (22311100111322).

The spelling of 10201000101121 in words is "ten trillion, two hundred one billion, one hundred one thousand, one hundred twenty-one".