1010101102101 has 48 divisors (see below), whose sum is σ = 1795864726656. Its totient is φ = 532762178688.

The previous prime is 1010101102099. The next prime is 1010101102103. The reversal of 1010101102101 is 1012011010101.

It is an interprime number because it is at equal distance from previous prime (1010101102099) and next prime (1010101102103).

It is not a de Polignac number, because 1010101102101 - 2¹ = 1010101102099 is a prime.

It is a super-2 number, since 2×1010101102101² (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14053411 + ... + 14125103.

It is an arithmetic number, because the mean of its divisors is an integer number (37413848472).

Almost surely, 2^{1010101102101} is an apocalyptic number.

It is an amenable number.

1010101102101 is a deficient number, since it is larger than the sum of its proper divisors (785763624555).

1010101102101 is a wasteful number, since it uses less digits than its factorization.

1010101102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88922 (or 88919 counting only the distinct ones).

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

Adding to 1010101102101 its reverse (1012011010101), we get a palindrome (2022112112202).

The spelling of 1010101102101 in words is "one trillion, ten billion, one hundred one million, one hundred two thousand, one hundred one".