102101221201101 has 16 divisors (see below), whose sum is σ = 136211311272960. Its totient is φ = 68029313022000.

The previous prime is 102101221201081. The next prime is 102101221201139. The reversal of 102101221201101 is 101102122101201.

It is a happy number.

It is not a de Polignac number, because 102101221201101 - 2⁷ = 102101221200973 is a prime.

It is a super-2 number, since 2×102101221201101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101221101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57354430 + ... + 59107808.

It is an arithmetic number, because the mean of its divisors is an integer number (8513206954560).

Almost surely, 2^{102101221201101} is an apocalyptic number.

It is an amenable number.

102101221201101 is a deficient number, since it is larger than the sum of its proper divisors (34110090071859).

102101221201101 is a wasteful number, since it uses less digits than its factorization.

102101221201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764256.

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

Adding to 102101221201101 its reverse (101102122101201), we get a palindrome (203203343302302).

The spelling of 102101221201101 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, two hundred one thousand, one hundred one".