10211020210050 has 384 divisors, whose sum is σ = 29971321712640. Its totient is φ = 2272699699200.

The previous prime is 10211020210049. The next prime is 10211020210109. The reversal of 10211020210050 is 5001202011201.

10211020210050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10211020210050² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 404720836 + ... + 404746064.

It is an arithmetic number, because the mean of its divisors is an integer number (78050316960).

Almost surely, 2^{10211020210050} is an apocalyptic number.

10211020210050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211020210050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985660856320).

10211020210050 is an abundant number, since it is smaller than the sum of its proper divisors (19760301502590).

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

10211020210050 is a wasteful number, since it uses less digits than its factorization.

10211020210050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25626 (or 25621 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10211020210050 its reverse (5001202011201), we get a palindrome (15212222221251).

The spelling of 10211020210050 in words is "ten trillion, two hundred eleven billion, twenty million, two hundred ten thousand, fifty".