101210112001 has 4 divisors (see below), whose sum is σ = 101215148292. Its totient is φ = 101205075712.

The previous prime is 101210111957. The next prime is 101210112023. The reversal of 101210112001 is 100211012101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100211012101 = 2887 ⋅34711123.

It can be written as a sum of positive squares in 2 ways, for example, as 41771184400 + 59438927601 = 204380^2 + 243801^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210112001 - 2¹³ = 101210103809 is a prime.

It is a super-3 number, since 3×101210112001³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101210112071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2487880 + ... + 2528233.

It is an arithmetic number, because the mean of its divisors is an integer number (25303787073).

Almost surely, 2^101210112001 is an apocalyptic number.

It is an amenable number.

101210112001 is a deficient number, since it is larger than the sum of its proper divisors (5036291).

101210112001 is an equidigital number, since it uses as much as digits as its factorization.

101210112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036290.

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

Adding to 101210112001 its reverse (100211012101), we get a palindrome (201421124102).

The spelling of 101210112001 in words is "one hundred one billion, two hundred ten million, one hundred twelve thousand, one".