102101010321311 has 8 divisors (see below), whose sum is σ = 102119992896000. Its totient is φ = 102082028834520.

The previous prime is 102101010321241. The next prime is 102101010321383. The reversal of 102101010321311 is 113123010101201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102101010321311 is a prime.

It is a super-5 number, since 5×102101010321311⁵ (a number of 71 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102101010321311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101010921311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201169340 + ... + 201676238.

It is an arithmetic number, because the mean of its divisors is an integer number (12764999112000).

Almost surely, 2^{102101010321311} is an apocalyptic number.

102101010321311 is a deficient number, since it is larger than the sum of its proper divisors (18982574689).

102101010321311 is an equidigital number, since it uses as much as digits as its factorization.

102101010321311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543949.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 102101010321311 its reverse (113123010101201), we get a palindrome (215224020422512).

The spelling of 102101010321311 in words is "one hundred two trillion, one hundred one billion, ten million, three hundred twenty-one thousand, three hundred eleven".