10100210023332 has 384 divisors, whose sum is σ = 32400677836800. Its totient is φ = 2675059084800.

The previous prime is 10100210023243. The next prime is 10100210023349. The reversal of 10100210023332 is 23332001200101.

10100210023332 is a `hidden beast` number, since 1 + 0 + 100 + 210 + 0 + 23 + 332 = 666.

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 127 ways as a sum of consecutive naturals, for example, 594786282 + ... + 594803262.

It is an arithmetic number, because the mean of its divisors is an integer number (84376765200).

Almost surely, 2^{10100210023332} is an apocalyptic number.

10100210023332 is a gapful number since it is divisible by the number (12) 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 10100210023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200338918400).

10100210023332 is an abundant number, since it is smaller than the sum of its proper divisors (22300467813468).

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

10100210023332 is a wasteful number, since it uses less digits than its factorization.

10100210023332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19064 (or 19056 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10100210023332 its reverse (23332001200101), we get a palindrome (33432211223433).

The spelling of 10100210023332 in words is "ten trillion, one hundred billion, two hundred ten million, twenty-three thousand, three hundred thirty-two".