10020211200000 has 468 divisors, whose sum is σ = 36177779419236. Its totient is φ = 2672025600000.

The previous prime is 10020211199993. The next prime is 10020211200011. The reversal of 10020211200000 is 211202001.

It can be written as a sum of positive squares in 6 ways, for example, as 9588782923776 + 431428276224 = 3096576^2 + 656832^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115156510 + ... + 115243490.

It is an arithmetic number, because the mean of its divisors is an integer number (77302947477).

Almost surely, 2^{10020211200000} is an apocalyptic number.

10020211200000 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 10020211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088889709618).

10020211200000 is an abundant number, since it is smaller than the sum of its proper divisors (26157568219236).

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

10020211200000 is an frugal number, since it uses more digits than its factorization.

10020211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87036 (or 86991 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020211200000 its reverse (211202001), we get a palindrome (10020422402001).

The spelling of 10020211200000 in words is "ten trillion, twenty billion, two hundred eleven million, two hundred thousand".