511212340100 has 216 divisors, whose sum is σ = 1437718730112. Its totient is φ = 155947948800.

The previous prime is 511212340099. The next prime is 511212340123. The reversal of 511212340100 is 1043212115.

It is a super-2 number, since 2×511212340100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2432402 + ... + 2634198.

It is an arithmetic number, because the mean of its divisors is an integer number (6656105232).

Almost surely, 2^511212340100 is an apocalyptic number.

511212340100 is a gapful number since it is divisible by the number (50) 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 511212340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718859365056).

511212340100 is an abundant number, since it is smaller than the sum of its proper divisors (926506390012).

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

511212340100 is a wasteful number, since it uses less digits than its factorization.

511212340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201883 (or 201869 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 511212340100 its reverse (1043212115), we get a palindrome (512255552215).

The spelling of 511212340100 in words is "five hundred eleven billion, two hundred twelve million, three hundred forty thousand, one hundred".