10012100121001 has 8 divisors (see below), whose sum is σ = 10923394310208. Its totient is φ = 9100989810000.

The previous prime is 10012100120969. The next prime is 10012100121013.

10012100121001 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10012100121001 - 2⁵ = 10012100120969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012100121041) 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, 45855685 + ... + 46073506.

It is an arithmetic number, because the mean of its divisors is an integer number (1365424288776).

Almost surely, 2^{10012100121001} is an apocalyptic number.

10012100121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012100121001 is a deficient number, since it is larger than the sum of its proper divisors (911294189207).

10012100121001 is an equidigital number, since it uses as much as digits as its factorization.

10012100121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91939103.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 10012100 and 121001, that added together give a palindrome (10133101).

The spelling of 10012100121001 in words is "ten trillion, twelve billion, one hundred million, one hundred twenty-one thousand, one".