21010102100120 has 192 divisors, whose sum is σ = 55078918876800. Its totient is φ = 7191921623040.

The previous prime is 21010102100111. The next prime is 21010102100129. The reversal of 21010102100120 is 2100120101012.

It is an interprime number because it is at equal distance from previous prime (21010102100111) and next prime (21010102100129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010102100129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4228232996 + ... + 4228237964.

It is an arithmetic number, because the mean of its divisors is an integer number (286869369150).

Almost surely, 2^{21010102100120} is an apocalyptic number.

21010102100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010102100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27539459438400).

21010102100120 is an abundant number, since it is smaller than the sum of its proper divisors (34068816776680).

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

21010102100120 is a wasteful number, since it uses less digits than its factorization.

21010102100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8018 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21010102100120 its reverse (2100120101012), we get a palindrome (23110222201132).

The spelling of 21010102100120 in words is "twenty-one trillion, ten billion, one hundred two million, one hundred thousand, one hundred twenty".