101021020200000 has 504 divisors, whose sum is σ = 380973790491840. Its totient is φ = 25521091200000.

The previous prime is 101021020199971. The next prime is 101021020200053. The reversal of 101021020200000 is 2020120101.

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

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, 32723085 + ... + 35676915.

It is an arithmetic number, because the mean of its divisors is an integer number (755900377960).

Almost surely, 2^{101021020200000} is an apocalyptic number.

101021020200000 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 101021020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190486895245920).

101021020200000 is an abundant number, since it is smaller than the sum of its proper divisors (279952770291840).

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

101021020200000 is an equidigital number, since it uses as much as digits as its factorization.

101021020200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953893 (or 2953860 counting only the distinct ones).

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

Adding to 101021020200000 its reverse (2020120101), we get a palindrome (101023040320101).

The spelling of 101021020200000 in words is "one hundred one trillion, twenty-one billion, twenty million, two hundred thousand".