101210112000011 has 8 divisors (see below), whose sum is σ = 119399947797504. Its totient is φ = 83953088294760.

The previous prime is 101210111999977. The next prime is 101210112000047. The reversal of 101210112000011 is 110000211012101.

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 101210112000011 - 2³⁴ = 101192932130827 is a prime.

It is a super-3 number, since 3×101210112000011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101210111999956 and 101210112000001.

It is not an unprimeable number, because it can be changed into a prime (101210112000911) 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, 233203022825 + ... + 233203023258.

It is an arithmetic number, because the mean of its divisors is an integer number (14924993474688).

Almost surely, 2^{101210112000011} is an apocalyptic number.

101210112000011 is a deficient number, since it is larger than the sum of its proper divisors (18189835797493).

101210112000011 is an equidigital number, since it uses as much as digits as its factorization.

101210112000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466406046121.

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

Adding to 101210112000011 its reverse (110000211012101), we get a palindrome (211210323012112).

The spelling of 101210112000011 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, eleven", and thus it is an aban number.