101201121110001 has 16 divisors (see below), whose sum is σ = 151950070407168. Its totient is φ = 59355496251600.

The previous prime is 101201121109981. The next prime is 101201121110029. The reversal of 101201121110001 is 100011121102101.

It is not a de Polignac number, because 101201121110001 - 2⁵ = 101201121109969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101201121110101) 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, 49462912521 + ... + 49462914566.

It is an arithmetic number, because the mean of its divisors is an integer number (9496879400448).

Almost surely, 2^{101201121110001} is an apocalyptic number.

101201121110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201121110001 is a deficient number, since it is larger than the sum of its proper divisors (50748949297167).

101201121110001 is a wasteful number, since it uses less digits than its factorization.

101201121110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98925827132.

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

Adding to 101201121110001 its reverse (100011121102101), we get a palindrome (201212242212102).

The spelling of 101201121110001 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, one hundred ten thousand, one".