102101122010101 has 16 divisors (see below), whose sum is σ = 105599158233088. Its totient is φ = 98615904332400.

The previous prime is 102101122010077. The next prime is 102101122010119. The reversal of 102101122010101 is 101010221101201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102101122010101 - 2⁹ = 102101122009589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101122017101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153824926 + ... + 154487248.

It is an arithmetic number, because the mean of its divisors is an integer number (6599947389568).

Almost surely, 2^{102101122010101} is an apocalyptic number.

It is an amenable number.

102101122010101 is a deficient number, since it is larger than the sum of its proper divisors (3498036222987).

102101122010101 is an equidigital number, since it uses as much as digits as its factorization.

102101122010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671992.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101122010101 its reverse (101010221101201), we get a palindrome (203111343111302).

The spelling of 102101122010101 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-two million, ten thousand, one hundred one".