21101012111101 has 24 divisors (see below), whose sum is σ = 22874714520000. Its totient is φ = 19455968503296.

The previous prime is 21101012111093. The next prime is 21101012111131. The reversal of 21101012111101 is 10111121010112.

It is not a de Polignac number, because 21101012111101 - 2³ = 21101012111093 is a prime.

It is a super-2 number, since 2×21101012111101² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101012111131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730959070 + ... + 730987936.

It is an arithmetic number, because the mean of its divisors is an integer number (953113105000).

Almost surely, 2^{21101012111101} is an apocalyptic number.

It is an amenable number.

21101012111101 is a deficient number, since it is larger than the sum of its proper divisors (1773702408899).

21101012111101 is a wasteful number, since it uses less digits than its factorization.

21101012111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33605 (or 33592 counting only the distinct ones).

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

Adding to 21101012111101 its reverse (10111121010112), we get a palindrome (31212133121213).

The spelling of 21101012111101 in words is "twenty-one trillion, one hundred one billion, twelve million, one hundred eleven thousand, one hundred one".