101102020101 has 32 divisors (see below), whose sum is σ = 158615395200. Its totient is φ = 63426965760.

The previous prime is 101102020079. The next prime is 101102020109. The reversal of 101102020101 is 101020201101.

It is a happy number.

It is not a de Polignac number, because 101102020101 - 2¹³ = 101102011909 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 (101102020109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4160655 + ... + 4184883.

It is an arithmetic number, because the mean of its divisors is an integer number (4956731100).

Almost surely, 2^101102020101 is an apocalyptic number.

It is an amenable number.

101102020101 is a deficient number, since it is larger than the sum of its proper divisors (57513375099).

101102020101 is a wasteful number, since it uses less digits than its factorization.

101102020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33346 (or 33340 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101102020101 its reverse (101020201101), we get a palindrome (202122221202).

The spelling of 101102020101 in words is "one hundred one billion, one hundred two million, twenty thousand, one hundred one".