201212101020 has 384 divisors, whose sum is σ = 701287372800. Its totient is φ = 42080256000.

The previous prime is 201212100977. The next prime is 201212101063. The reversal of 201212101020 is 20101212102.

It is an interprime number because it is at equal distance from previous prime (201212100977) and next prime (201212101063).

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 = 201212100987 and 201212101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33042136 + ... + 33048224.

It is an arithmetic number, because the mean of its divisors is an integer number (1826269200).

Almost surely, 2^201212101020 is an apocalyptic number.

201212101020 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 201212101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350643686400).

201212101020 is an abundant number, since it is smaller than the sum of its proper divisors (500075271780).

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

201212101020 is a wasteful number, since it uses less digits than its factorization.

201212101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6267 counting only the distinct ones).

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

Adding to 201212101020 its reverse (20101212102), we get a palindrome (221313313122).

The spelling of 201212101020 in words is "two hundred one billion, two hundred twelve million, one hundred one thousand, twenty".