10211020020000 has 360 divisors, whose sum is σ = 36330740425980. Its totient is φ = 2719534080000.

The previous prime is 10211020019971. The next prime is 10211020020031. The reversal of 10211020020000 is 2002011201.

It can be written as a sum of positive squares in 10 ways, for example, as 1034264592144 + 9176755427856 = 1016988^2 + 3029316^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 145584940 + ... + 145655060.

Almost surely, 2^{10211020020000} is an apocalyptic number.

10211020020000 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 10211020020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18165370212990).

10211020020000 is an abundant number, since it is smaller than the sum of its proper divisors (26119720405980).

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

10211020020000 is an equidigital number, since it uses as much as digits as its factorization.

10211020020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70966 (or 70940 counting only the distinct ones).

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

Adding to 10211020020000 its reverse (2002011201), we get a palindrome (10213022031201).

The spelling of 10211020020000 in words is "ten trillion, two hundred eleven billion, twenty million, twenty thousand".