102101101222101 has 8 divisors (see below), whose sum is σ = 136137110526144. Its totient is φ = 68066246366400.

The previous prime is 102101101222091. The next prime is 102101101222111. The reversal of 102101101222101 is 101222101101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102101101222091) and next prime (102101101222111).

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

It is not a de Polignac number, because 102101101222101 - 2⁹ = 102101101221589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101101222111) 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, 288405700 + ... + 288759501.

It is an arithmetic number, because the mean of its divisors is an integer number (17017138815768).

Almost surely, 2^{102101101222101} is an apocalyptic number.

It is an amenable number.

102101101222101 is a deficient number, since it is larger than the sum of its proper divisors (34036009304043).

102101101222101 is an equidigital number, since it uses as much as digits as its factorization.

102101101222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577224171.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102101101222101 its reverse (101222101101201), we get a palindrome (203323202323302).

The spelling of 102101101222101 in words is "one hundred two trillion, one hundred one billion, one hundred one million, two hundred twenty-two thousand, one hundred one".