101102210122101 has 16 divisors (see below), whose sum is σ = 134844567596544. Its totient is φ = 67380663834864.

The previous prime is 101102210122091. The next prime is 101102210122153. The reversal of 101102210122101 is 101221012201101.

It is a happy number.

It is not a de Polignac number, because 101102210122101 - 2³³ = 101093620187509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102210122171) 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, 973554486 + ... + 973658328.

It is an arithmetic number, because the mean of its divisors is an integer number (8427785474784).

Almost surely, 2^{101102210122101} is an apocalyptic number.

It is an amenable number.

101102210122101 is a deficient number, since it is larger than the sum of its proper divisors (33742357474443).

101102210122101 is a wasteful number, since it uses less digits than its factorization.

101102210122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200920.

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

Adding to 101102210122101 its reverse (101221012201101), we get a palindrome (202323222323202).

The spelling of 101102210122101 in words is "one hundred one trillion, one hundred two billion, two hundred ten million, one hundred twenty-two thousand, one hundred one".