101012201023200 has 432 divisors, whose sum is σ = 349743235000320. Its totient is φ = 25317908259840.

The previous prime is 101012201023199. The next prime is 101012201023249. The reversal of 101012201023200 is 2320102210101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101012201023200.

It is a congruent number.

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, 109573791 + ... + 110491809.

It is an arithmetic number, because the mean of its divisors is an integer number (809590821760).

Almost surely, 2^{101012201023200} is an apocalyptic number.

101012201023200 is a gapful number since it is divisible by the number (10) 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 101012201023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174871617500160).

101012201023200 is an abundant number, since it is smaller than the sum of its proper divisors (248731033977120).

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

101012201023200 is a wasteful number, since it uses less digits than its factorization.

101012201023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918207 (or 918175 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101012201023200 its reverse (2320102210101), we get a palindrome (103332303233301).

The spelling of 101012201023200 in words is "one hundred one trillion, twelve billion, two hundred one million, twenty-three thousand, two hundred".