10211000001020 has 192 divisors, whose sum is σ = 26706270130176. Its totient is φ = 3193208801280.

The previous prime is 10211000000933. The next prime is 10211000001031. The reversal of 10211000001020 is 2010000011201.

10211000001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10211000000989 and 10211000001007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85609625 + ... + 85728815.

It is an arithmetic number, because the mean of its divisors is an integer number (139095156928).

Almost surely, 2^{10211000001020} is an apocalyptic number.

10211000001020 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 10211000001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353135065088).

10211000001020 is an abundant number, since it is smaller than the sum of its proper divisors (16495270129156).

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

10211000001020 is a wasteful number, since it uses less digits than its factorization.

10211000001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119780 (or 119778 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10211000001020 its reverse (2010000011201), we get a palindrome (12221000012221).

The spelling of 10211000001020 in words is "ten trillion, two hundred eleven billion, one thousand, twenty".