101000001102102 has 24 divisors (see below), whose sum is σ = 218839893434136. Its totient is φ = 33665658155136.

The previous prime is 101000001102059. The next prime is 101000001102163. The reversal of 101000001102102 is 201201100000101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83455768 + ... + 84657339.

It is an arithmetic number, because the mean of its divisors is an integer number (9118328893089).

Almost surely, 2^{101000001102102} is an apocalyptic number.

101000001102102 is an abundant number, since it is smaller than the sum of its proper divisors (117839892332034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000001102102 is a wasteful number, since it uses less digits than its factorization.

101000001102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168146492 (or 168146489 counting only the distinct ones).

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

Adding to 101000001102102 its reverse (201201100000101), we get a palindrome (302201101102203).

The spelling of 101000001102102 in words is "one hundred one trillion, one million, one hundred two thousand, one hundred two".