102110221021011 has 16 divisors (see below), whose sum is σ = 156411168780288. Its totient is φ = 58043207160000.

The previous prime is 102110221021001. The next prime is 102110221021021. The reversal of 102110221021011 is 110120122011201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102110221021001) and next prime (102110221021021).

It is not a de Polignac number, because 102110221021011 - 2⁵ = 102110221020979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102110221021001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12728769490 + ... + 12728777511.

It is an arithmetic number, because the mean of its divisors is an integer number (9775698048768).

Almost surely, 2^{102110221021011} is an apocalyptic number.

102110221021011 is a deficient number, since it is larger than the sum of its proper divisors (54300947759277).

102110221021011 is a wasteful number, since it uses less digits than its factorization.

102110221021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25457547202.

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

Adding to 102110221021011 its reverse (110120122011201), we get a palindrome (212230343032212).

The spelling of 102110221021011 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty-one million, twenty-one thousand, eleven".