101021100120102 has 256 divisors, whose sum is σ = 222898410040320. Its totient is φ = 30441741926400.

The previous prime is 101021100120097. The next prime is 101021100120167. The reversal of 101021100120102 is 201021001120101.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 15138779838 + ... + 15138786510.

It is an arithmetic number, because the mean of its divisors is an integer number (870696914220).

Almost surely, 2^{101021100120102} is an apocalyptic number.

101021100120102 is an abundant number, since it is smaller than the sum of its proper divisors (121877309920218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021100120102 is a wasteful number, since it uses less digits than its factorization.

101021100120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101021100120102 its reverse (201021001120101), we get a palindrome (302042101240203).

Subtracting 101021100120102 from its reverse (201021001120101), we obtain a palindrome (99999900999999).

The spelling of 101021100120102 in words is "one hundred one trillion, twenty-one billion, one hundred million, one hundred twenty thousand, one hundred two".