212000102100120 has 256 divisors, whose sum is σ = 668525612544000. Its totient is φ = 53706892732416.

The previous prime is 212000102100119. The next prime is 212000102100121. The reversal of 212000102100120 is 21001201000212.

It is an interprime number because it is at equal distance from previous prime (212000102100119) and next prime (212000102100121).

It is a super-2 number, since 2×212000102100120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212000102100096 and 212000102100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000102100121) 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, 200690286 + ... + 201743874.

It is an arithmetic number, because the mean of its divisors is an integer number (2611428174000).

Almost surely, 2^{212000102100120} is an apocalyptic number.

212000102100120 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 212000102100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334262806272000).

212000102100120 is an abundant number, since it is smaller than the sum of its proper divisors (456525510443880).

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

212000102100120 is a wasteful number, since it uses less digits than its factorization.

212000102100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054562 (or 1054558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212000102100120 its reverse (21001201000212), we get a palindrome (233001303100332).

The spelling of 212000102100120 in words is "two hundred twelve trillion, one hundred two million, one hundred thousand, one hundred twenty".