102010100011101 has 8 divisors (see below), whose sum is σ = 151126074090560. Its totient is φ = 68006733340716.

The previous prime is 102010100011091. The next prime is 102010100011111. The reversal of 102010100011101 is 101110001010201.

It is an interprime number because it is at equal distance from previous prime (102010100011091) and next prime (102010100011111).

It is not a de Polignac number, because 102010100011101 - 2³⁰ = 102009026269277 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 (102010100011111) 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 7 ways as a sum of consecutive naturals, for example, 1889075926105 + ... + 1889075926158.

It is an arithmetic number, because the mean of its divisors is an integer number (18890759261320).

Almost surely, 2^{102010100011101} is an apocalyptic number.

It is an amenable number.

102010100011101 is a deficient number, since it is larger than the sum of its proper divisors (49115974079459).

102010100011101 is an equidigital number, since it uses as much as digits as its factorization.

102010100011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778151852272 (or 3778151852266 counting only the distinct ones).

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

Adding to 102010100011101 its reverse (101110001010201), we get a palindrome (203120101021302).

The spelling of 102010100011101 in words is "one hundred two trillion, ten billion, one hundred million, eleven thousand, one hundred one".