212335353145100 has 72 divisors (see below), whose sum is σ = 467698003536960. Its totient is φ = 83656957158720.

The previous prime is 212335353144979. The next prime is 212335353145109. The reversal of 212335353145100 is 1541353533212.

It is not an unprimeable number, because it can be changed into a prime (212335353145109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57290507 + ... + 60884093.

It is an arithmetic number, because the mean of its divisors is an integer number (6495805604680).

Almost surely, 2^{212335353145100} is an apocalyptic number.

212335353145100 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 212335353145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233849001768480).

212335353145100 is an abundant number, since it is smaller than the sum of its proper divisors (255362650391860).

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

212335353145100 is a wasteful number, since it uses less digits than its factorization.

212335353145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602487 (or 3602480 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 212335353145100 in words is "two hundred twelve trillion, three hundred thirty-five billion, three hundred fifty-three million, one hundred forty-five thousand, one hundred".