201211010212122 has 128 divisors (see below), whose sum is σ = 454950483736320. Its totient is φ = 65909888179200.

The previous prime is 201211010212097. The next prime is 201211010212127. The reversal of 201211010212122 is 221212010112102.

It is a super-3 number, since 3×201211010212122³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201211010212095 and 201211010212104.

It is not an unprimeable number, because it can be changed into a prime (201211010212127) 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, 397501833 + ... + 398007699.

It is an arithmetic number, because the mean of its divisors is an integer number (3554300654190).

Almost surely, 2^{201211010212122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201211010212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227475241868160).

201211010212122 is an abundant number, since it is smaller than the sum of its proper divisors (253739473524198).

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

201211010212122 is a wasteful number, since it uses less digits than its factorization.

201211010212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506525 (or 506519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201211010212122 its reverse (221212010112102), we get a palindrome (422423020324224).

The spelling of 201211010212122 in words is "two hundred one trillion, two hundred eleven billion, ten million, two hundred twelve thousand, one hundred twenty-two".