10211020210000 has 100 divisors (see below), whose sum is σ = 24966674797284. Its totient is φ = 4043968000000.

The previous prime is 10211020209977. The next prime is 10211020210037. The reversal of 10211020210000 is 1202011201.

10211020210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 6772131838224 + 3438888371776 = 2602332^2 + 1854424^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4044961 + ... + 6064960.

Almost surely, 2^{10211020210000} is an apocalyptic number.

10211020210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211020210000 is an abundant number, since it is smaller than the sum of its proper divisors (14755654587284).

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

10211020210000 is a wasteful number, since it uses less digits than its factorization.

10211020210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110050 (or 10110029 counting only the distinct ones).

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

Adding to 10211020210000 its reverse (1202011201), we get a palindrome (10212222221201).

The spelling of 10211020210000 in words is "ten trillion, two hundred eleven billion, twenty million, two hundred ten thousand".