201213111211020 has 192 divisors, whose sum is σ = 633665607482880. Its totient is φ = 52999723872000.

The previous prime is 201213111210953. The next prime is 201213111211117. The reversal of 201213111211020 is 20112111312102.

It is a happy number.

201213111211020 is a `hidden beast` number, since 2 + 0 + 121 + 311 + 1 + 211 + 0 + 20 = 666.

It is a super-2 number, since 2×201213111211020² (a number of 29 digits) contains 22 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 = 201213111210984 and 201213111211002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224145070 + ... + 225040970.

It is an arithmetic number, because the mean of its divisors is an integer number (3300341705640).

Almost surely, 2^{201213111211020} is an apocalyptic number.

201213111211020 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 201213111211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316832803741440).

201213111211020 is an abundant number, since it is smaller than the sum of its proper divisors (432452496271860).

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

201213111211020 is a wasteful number, since it uses less digits than its factorization.

201213111211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901013 (or 901005 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 201213111211020 its reverse (20112111312102), we get a palindrome (221325222523122).

The spelling of 201213111211020 in words is "two hundred one trillion, two hundred thirteen billion, one hundred eleven million, two hundred eleven thousand, twenty".