101002212100120 has 16 divisors (see below), whose sum is σ = 227254977225360. Its totient is φ = 40400884840032.

The previous prime is 101002212100117. The next prime is 101002212100123. The reversal of 101002212100120 is 21001212200101.

It is an interprime number because it is at equal distance from previous prime (101002212100117) and next prime (101002212100123).

It is a self number, because there is not a number n which added to its sum of digits gives 101002212100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002212100123) 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 3 ways as a sum of consecutive naturals, for example, 1262527651212 + ... + 1262527651291.

It is an arithmetic number, because the mean of its divisors is an integer number (14203436076585).

Almost surely, 2^{101002212100120} is an apocalyptic number.

101002212100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002212100120 is an abundant number, since it is smaller than the sum of its proper divisors (126252765125240).

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

101002212100120 is a wasteful number, since it uses less digits than its factorization.

101002212100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525055302514 (or 2525055302510 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101002212100120 its reverse (21001212200101), we get a palindrome (122003424300221).

The spelling of 101002212100120 in words is "one hundred one trillion, two billion, two hundred twelve million, one hundred thousand, one hundred twenty".