101020211200000 has 180 divisors, whose sum is σ = 252526786016904. Its totient is φ = 40408064000000.

The previous prime is 101020211199983. The next prime is 101020211200039. The reversal of 101020211200000 is 2112020101.

101020211200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101020211200000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50213475 + ... + 52186525.

Almost surely, 2^{101020211200000} is an apocalyptic number.

101020211200000 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 101020211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126263393008452).

101020211200000 is an abundant number, since it is smaller than the sum of its proper divisors (151506574816904).

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

101020211200000 is an frugal number, since it uses more digits than its factorization.

101020211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973104 (or 1973058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020211200000 its reverse (2112020101), we get a palindrome (101022323220101).

The spelling of 101020211200000 in words is "one hundred one trillion, twenty billion, two hundred eleven million, two hundred thousand".