21012100111001 has 8 divisors (see below), whose sum is σ = 21172620061824. Its totient is φ = 20851582012560.

The previous prime is 21012100110877. The next prime is 21012100111021. The reversal of 21012100111001 is 10011100121012.

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 21012100111001 - 2¹⁴ = 21012100094617 is a prime.

It is a super-3 number, since 3×21012100111001³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21012100111021) 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, 29867840 + ... + 30563246.

It is an arithmetic number, because the mean of its divisors is an integer number (2646577507728).

Almost surely, 2^{21012100111001} is an apocalyptic number.

It is an amenable number.

21012100111001 is a deficient number, since it is larger than the sum of its proper divisors (160519950823).

21012100111001 is a wasteful number, since it uses less digits than its factorization.

21012100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926191.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21012100111001 its reverse (10011100121012), we get a palindrome (31023200232013).

It can be divided in two parts, 21012 and 100111001, that multiplied together give a palindrome (2103532353012).

The spelling of 21012100111001 in words is "twenty-one trillion, twelve billion, one hundred million, one hundred eleven thousand, one".