101012001121201 has 8 divisors (see below), whose sum is σ = 104272817359104. Its totient is φ = 97751332670160.

The previous prime is 101012001121099. The next prime is 101012001121231. The reversal of 101012001121201 is 102121100210101.

It is a happy number.

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 101012001121201 - 2¹¹ = 101012001119153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012001121231) 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, 35556826 + ... + 38292451.

It is an arithmetic number, because the mean of its divisors is an integer number (13034102169888).

Almost surely, 2^{101012001121201} is an apocalyptic number.

It is an amenable number.

101012001121201 is a deficient number, since it is larger than the sum of its proper divisors (3260816237903).

101012001121201 is an equidigital number, since it uses as much as digits as its factorization.

101012001121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73893431.

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

Adding to 101012001121201 its reverse (102121100210101), we get a palindrome (203133101331302).

The spelling of 101012001121201 in words is "one hundred one trillion, twelve billion, one million, one hundred twenty-one thousand, two hundred one".