10102101110001 has 8 divisors (see below), whose sum is σ = 14966075718560. Its totient is φ = 6734734073316.

The previous prime is 10102101109939. The next prime is 10102101110053. The reversal of 10102101110001 is 10001110120101.

It is not a de Polignac number, because 10102101110001 - 2⁹ = 10102101109489 is a prime.

It is a super-3 number, since 3×10102101110001³ (a number of 40 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102101110201) 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 7 ways as a sum of consecutive naturals, for example, 187075946455 + ... + 187075946508.

It is an arithmetic number, because the mean of its divisors is an integer number (1870759464820).

Almost surely, 2^{10102101110001} is an apocalyptic number.

It is an amenable number.

10102101110001 is a deficient number, since it is larger than the sum of its proper divisors (4863974608559).

10102101110001 is an equidigital number, since it uses as much as digits as its factorization.

10102101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374151892972 (or 374151892966 counting only the distinct ones).

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

Adding to 10102101110001 its reverse (10001110120101), we get a palindrome (20103211230102).

The spelling of 10102101110001 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred ten thousand, one".