10121111201001 has 16 divisors (see below), whose sum is σ = 14462128347264. Its totient is φ = 6279608358144.

The previous prime is 10121111200979. The next prime is 10121111201023. The reversal of 10121111201001 is 10010211112101.

It is an interprime number because it is at equal distance from previous prime (10121111200979) and next prime (10121111201023).

It is not a de Polignac number, because 10121111201001 - 2⁵ = 10121111200969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121111201101) 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, 1982197056 + ... + 1982202161.

It is an arithmetic number, because the mean of its divisors is an integer number (903883021704).

Almost surely, 2^{10121111201001} is an apocalyptic number.

It is an amenable number.

10121111201001 is a deficient number, since it is larger than the sum of its proper divisors (4341017146263).

10121111201001 is a wasteful number, since it uses less digits than its factorization.

10121111201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964399280.

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

Adding to 10121111201001 its reverse (10010211112101), we get a palindrome (20131322313102).

The spelling of 10121111201001 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, two hundred one thousand, one".