10021211021010 has 128 divisors (see below), whose sum is σ = 27600284694528. Its totient is φ = 2281104000000.

The previous prime is 10021211020993. The next prime is 10021211021021. The reversal of 10021211021010 is 1012011212001.

It is a super-2 number, since 2×10021211021010² (a number of 27 digits) contains 22 as substring.

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, 653649045 + ... + 653664375.

It is an arithmetic number, because the mean of its divisors is an integer number (215627224176).

Almost surely, 2^{10021211021010} is an apocalyptic number.

10021211021010 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 10021211021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800142347264).

10021211021010 is an abundant number, since it is smaller than the sum of its proper divisors (17579073673518).

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

10021211021010 is a wasteful number, since it uses less digits than its factorization.

10021211021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28000.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021211021010 its reverse (1012011212001), we get a palindrome (11033222233011).

The spelling of 10021211021010 in words is "ten trillion, twenty-one billion, two hundred eleven million, twenty-one thousand, ten".