10000211021010 has 192 divisors, whose sum is σ = 30058312737024. Its totient is φ = 2259483033600.

The previous prime is 10000211020981. The next prime is 10000211021027. The reversal of 10000211021010 is 1012011200001.

It is a happy number.

It is a super-2 number, since 2×10000211021010² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000211020983 and 10000211021001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20974470 + ... + 21445950.

It is an arithmetic number, because the mean of its divisors is an integer number (156553712172).

Almost surely, 2^{10000211021010} is an apocalyptic number.

10000211021010 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 10000211021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029156368512).

10000211021010 is an abundant number, since it is smaller than the sum of its proper divisors (20058101716014).

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

10000211021010 is a wasteful number, since it uses less digits than its factorization.

10000211021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471889 (or 471886 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000211021010 its reverse (1012011200001), we get a palindrome (11012222221011).

The spelling of 10000211021010 in words is "ten trillion, two hundred eleven million, twenty-one thousand, ten".