101001121121201 has 8 divisors (see below), whose sum is σ = 115430505805440. Its totient is φ = 86571899710848.

The previous prime is 101001121121119. The next prime is 101001121121231. The reversal of 101001121121201 is 102121121100101.

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 101001121121201 - 2¹⁸ = 101001120859057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001121121231) 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, 39490016 + ... + 41969793.

It is an arithmetic number, because the mean of its divisors is an integer number (14428813225680).

Almost surely, 2^{101001121121201} is an apocalyptic number.

It is an amenable number.

101001121121201 is a deficient number, since it is larger than the sum of its proper divisors (14429384684239).

101001121121201 is an equidigital number, since it uses as much as digits as its factorization.

101001121121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81636943.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101001121121201 its reverse (102121121100101), we get a palindrome (203122242221302).

The spelling of 101001121121201 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".