100101101121201 has 32 divisors (see below), whose sum is σ = 150229896566400. Its totient is φ = 58913684812800.

The previous prime is 100101101121157. The next prime is 100101101121221. The reversal of 100101101121201 is 102121101101001.

It is not a de Polignac number, because 100101101121201 - 2²⁹ = 100100564250289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101101121221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511305646 + ... + 511501383.

It is an arithmetic number, because the mean of its divisors is an integer number (4694684267700).

Almost surely, 2^{100101101121201} is an apocalyptic number.

It is an amenable number.

100101101121201 is a deficient number, since it is larger than the sum of its proper divisors (50128795445199).

100101101121201 is a wasteful number, since it uses less digits than its factorization.

100101101121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022807169.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101101121201 its reverse (102121101101001), we get a palindrome (202222202222202).

The spelling of 100101101121201 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, two hundred one".