211204101420 has 144 divisors (see below), whose sum is σ = 691737725952. Its totient is φ = 51852741120.

The previous prime is 211204101377. The next prime is 211204101439. The reversal of 211204101420 is 24101402112.

211204101420 is a `hidden beast` number, since 2 + 112 + 0 + 410 + 142 + 0 = 666.

It is a super-3 number, since 3×211204101420³ (a number of 35 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 = 211204101393 and 211204101402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778390 + ... + 1014050.

It is an arithmetic number, because the mean of its divisors is an integer number (4803734208).

Almost surely, 2^211204101420 is an apocalyptic number.

211204101420 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 211204101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345868862976).

211204101420 is an abundant number, since it is smaller than the sum of its proper divisors (480533624532).

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

211204101420 is a wasteful number, since it uses less digits than its factorization.

211204101420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236072 (or 236067 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211204101420 its reverse (24101402112), we get a palindrome (235305503532).

The spelling of 211204101420 in words is "two hundred eleven billion, two hundred four million, one hundred one thousand, four hundred twenty".