21102112112001 has 32 divisors (see below), whose sum is σ = 30216427453440. Its totient is φ = 13058584104384.

The previous prime is 21102112111981. The next prime is 21102112112021. The reversal of 21102112112001 is 10021121120112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21102112111981) and next prime (21102112112021).

It is not a de Polignac number, because 21102112112001 - 2¹⁰ = 21102112110977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21102112112021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2456031 + ... + 6945236.

It is an arithmetic number, because the mean of its divisors is an integer number (944263357920).

Almost surely, 2^{21102112112001} is an apocalyptic number.

It is an amenable number.

21102112112001 is a deficient number, since it is larger than the sum of its proper divisors (9114315341439).

21102112112001 is a wasteful number, since it uses less digits than its factorization.

21102112112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402085.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21102112112001 its reverse (10021121120112), we get a palindrome (31123233232113).

The spelling of 21102112112001 in words is "twenty-one trillion, one hundred two billion, one hundred twelve million, one hundred twelve thousand, one".