102001012101 has 16 divisors (see below), whose sum is σ = 151228635520. Its totient is φ = 67948463520.

The previous prime is 102001012081. The next prime is 102001012103. The reversal of 102001012101 is 101210100201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-102001012101 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001012103) 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, 1414480 + ... + 1484841.

It is an arithmetic number, because the mean of its divisors is an integer number (9451789720).

Almost surely, 2^102001012101 is an apocalyptic number.

It is an amenable number.

102001012101 is a deficient number, since it is larger than the sum of its proper divisors (49227623419).

102001012101 is a wasteful number, since it uses less digits than its factorization.

102001012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900633 (or 2900627 counting only the distinct ones).

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

Adding to 102001012101 its reverse (101210100201), we get a palindrome (203211112302).

The spelling of 102001012101 in words is "one hundred two billion, one million, twelve thousand, one hundred one".