102101020101 has 32 divisors (see below), whose sum is σ = 159786013440. Its totient is φ = 65107864800.

The previous prime is 102101020079. The next prime is 102101020117. The reversal of 102101020101 is 101020101201.

It is a happy number.

It is not a de Polignac number, because 102101020101 - 2⁹ = 102101019589 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 (102101020501) 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, 964600 + ... + 1065201.

It is an arithmetic number, because the mean of its divisors is an integer number (4993312920).

Almost surely, 2^102101020101 is an apocalyptic number.

It is an amenable number.

102101020101 is a deficient number, since it is larger than the sum of its proper divisors (57684993339).

102101020101 is an frugal number, since it uses more digits than its factorization.

102101020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029845 (or 2029827 counting only the distinct ones).

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

Adding to 102101020101 its reverse (101020101201), we get a palindrome (203121121302).

The spelling of 102101020101 in words is "one hundred two billion, one hundred one million, twenty thousand, one hundred one".