102110210122101 has 64 divisors (see below), whose sum is σ = 140245815951360. Its totient is φ = 66064551280640.

The previous prime is 102110210122091. The next prime is 102110210122111. The reversal of 102110210122101 is 101221012011201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102110210122091) and next prime (102110210122111).

It is a cyclic number.

It is not a de Polignac number, because 102110210122101 - 2⁹ = 102110210121589 is a prime.

It is a super-2 number, since 2×102110210122101² (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 (102110210122111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2181305986 + ... + 2181352796.

It is an arithmetic number, because the mean of its divisors is an integer number (2191340874240).

Almost surely, 2^{102110210122101} is an apocalyptic number.

It is an amenable number.

102110210122101 is a deficient number, since it is larger than the sum of its proper divisors (38135605829259).

102110210122101 is a wasteful number, since it uses less digits than its factorization.

102110210122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47626.

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

Adding to 102110210122101 its reverse (101221012011201), we get a palindrome (203331222133302).

The spelling of 102110210122101 in words is "one hundred two trillion, one hundred ten billion, two hundred ten million, one hundred twenty-two thousand, one hundred one".