101101010212111 has 16 divisors (see below), whose sum is σ = 124432565257728. Its totient is φ = 79991652780000.

The previous prime is 101101010212099. The next prime is 101101010212159. The reversal of 101101010212111 is 111212010101101.

It is not a de Polignac number, because 101101010212111 - 2⁹ = 101101010211599 is a prime.

It is a super-2 number, since 2×101101010212111² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101101010212091 and 101101010212100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101010210111) 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, 19169736 + ... + 23867986.

It is an arithmetic number, because the mean of its divisors is an integer number (7777035328608).

Almost surely, 2^{101101010212111} is an apocalyptic number.

101101010212111 is a deficient number, since it is larger than the sum of its proper divisors (23331555045617).

101101010212111 is a wasteful number, since it uses less digits than its factorization.

101101010212111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934742.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101101010212111 its reverse (111212010101101), we get a palindrome (212313020313212).

The spelling of 101101010212111 in words is "one hundred one trillion, one hundred one billion, ten million, two hundred twelve thousand, one hundred eleven".