101210213213032 has 192 divisors, whose sum is σ = 243722196000000. Its totient is φ = 38958087168000.

The previous prime is 101210213213023. The next prime is 101210213213033. The reversal of 101210213213032 is 230312312012101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101210213212994 and 101210213213012.

It is not an unprimeable number, because it can be changed into a prime (101210213213033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479220657 + ... + 479431807.

It is an arithmetic number, because the mean of its divisors is an integer number (1269386437500).

Almost surely, 2^{101210213213032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210213213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121861098000000).

101210213213032 is an abundant number, since it is smaller than the sum of its proper divisors (142511982786968).

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

101210213213032 is a wasteful number, since it uses less digits than its factorization.

101210213213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212520 (or 212509 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101210213213032 its reverse (230312312012101), we get a palindrome (331522525225133).

The spelling of 101210213213032 in words is "one hundred one trillion, two hundred ten billion, two hundred thirteen million, two hundred thirteen thousand, thirty-two".