10102100101101 has 12 divisors (see below), whose sum is σ = 14755876553340. Its totient is φ = 6659062238400.

The previous prime is 10102100101097. The next prime is 10102100101103. The reversal of 10102100101101 is 10110100120101.

It can be written as a sum of positive squares in 2 ways, for example, as 1582274673225 + 8519825427876 = 1257885^2 + 2918874^2 .

It is not a de Polignac number, because 10102100101101 - 2² = 10102100101097 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 (10102100101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6305929350 + ... + 6305930951.

It is an arithmetic number, because the mean of its divisors is an integer number (1229656379445).

Almost surely, 2^{10102100101101} is an apocalyptic number.

It is an amenable number.

10102100101101 is a deficient number, since it is larger than the sum of its proper divisors (4653776452239).

10102100101101 is a wasteful number, since it uses less digits than its factorization.

10102100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12611860396 (or 12611860393 counting only the distinct ones).

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

Adding to 10102100101101 its reverse (10110100120101), we get a palindrome (20212200221202).

The spelling of 10102100101101 in words is "ten trillion, one hundred two billion, one hundred million, one hundred one thousand, one hundred one".