101111000020101 has 24 divisors (see below), whose sum is σ = 149998116812544. Its totient is φ = 65584805937120.

The previous prime is 101111000020003. The next prime is 101111000020123. The reversal of 101111000020101 is 101020000111101.

It is not a de Polignac number, because 101111000020101 - 2²² = 101110995825797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111000020141) 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, 30201640 + ... + 33382046.

It is an arithmetic number, because the mean of its divisors is an integer number (6249921533856).

Almost surely, 2^{101111000020101} is an apocalyptic number.

It is an amenable number.

101111000020101 is a deficient number, since it is larger than the sum of its proper divisors (48887116792443).

101111000020101 is a wasteful number, since it uses less digits than its factorization.

101111000020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275921 (or 3275918 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111000020101 its reverse (101020000111101), we get a palindrome (202131000131202).

The spelling of 101111000020101 in words is "one hundred one trillion, one hundred eleven billion, twenty thousand, one hundred one".