101102102101 has 32 divisors (see below), whose sum is σ = 135773584128. Its totient is φ = 72705738240.

The previous prime is 101102102093. The next prime is 101102102173. The reversal of 101102102101 is 101201201101.

It is a cyclic number.

It is not a de Polignac number, because 101102102101 - 2³ = 101102102093 is a prime.

It is a super-2 number, since 2×101102102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102102201) 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 31 ways as a sum of consecutive naturals, for example, 7573905 + ... + 7587241.

It is an arithmetic number, because the mean of its divisors is an integer number (4242924504).

Almost surely, 2^101102102101 is an apocalyptic number.

101102102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102102101 is a deficient number, since it is larger than the sum of its proper divisors (34671482027).

101102102101 is a wasteful number, since it uses less digits than its factorization.

101102102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20941.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101102102101 its reverse (101201201101), we get a palindrome (202303303202).

It can be divided in two parts, 101102 and 102101, that added together give a triangular number (203203 = T₆₃₇).

The spelling of 101102102101 in words is "one hundred one billion, one hundred two million, one hundred two thousand, one hundred one".