232022012012100 has 504 divisors, whose sum is σ = 787828464266760. Its totient is φ = 59210276106240.

The previous prime is 232022012012027. The next prime is 232022012012173. The reversal of 232022012012100 is 1210210220232.

232022012012100 is a `hidden beast` number, since 2 + 32 + 0 + 220 + 1 + 201 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (232022012012027) and next prime (232022012012173).

It can be written as a sum of positive squares in 12 ways, for example, as 202944185239104 + 29077826772996 = 14245848^2 + 5392386^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 238407682 + ... + 239378918.

It is an arithmetic number, because the mean of its divisors is an integer number (1563151714815).

Almost surely, 2^{232022012012100} is an apocalyptic number.

232022012012100 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 232022012012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393914232133380).

232022012012100 is an abundant number, since it is smaller than the sum of its proper divisors (555806452254660).

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

232022012012100 is a wasteful number, since it uses less digits than its factorization.

232022012012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971411 (or 971389 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 232022012012100 its reverse (1210210220232), we get a palindrome (233232222232332).

The spelling of 232022012012100 in words is "two hundred thirty-two trillion, twenty-two billion, twelve million, twelve thousand, one hundred".