101000210112011 has 16 divisors (see below), whose sum is σ = 115646128349184. Its totient is φ = 86408749383264.

The previous prime is 101000210111959. The next prime is 101000210112037. The reversal of 101000210112011 is 110211012000101.

It is not a de Polignac number, because 101000210112011 - 2¹⁸ = 101000209849867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000210111983 and 101000210112001.

It is not an unprimeable number, because it can be changed into a prime (101000210112211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4103126 + ... + 14793108.

It is an arithmetic number, because the mean of its divisors is an integer number (7227883021824).

Almost surely, 2^{101000210112011} is an apocalyptic number.

101000210112011 is a deficient number, since it is larger than the sum of its proper divisors (14645918237173).

101000210112011 is a wasteful number, since it uses less digits than its factorization.

101000210112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10692530.

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

Adding to 101000210112011 its reverse (110211012000101), we get a palindrome (211211222112112).

The spelling of 101000210112011 in words is "one hundred one trillion, two hundred ten million, one hundred twelve thousand, eleven".