10211011121010 has 128 divisors (see below), whose sum is σ = 28313073621504. Its totient is φ = 2308514457600.

The previous prime is 10211011121009. The next prime is 10211011121041. The reversal of 10211011121010 is 1012111011201.

It is a super-2 number, since 2×10211011121010² (a number of 27 digits) contains 22 as substring.

It is a Curzon 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, 20904934 + ... + 21387806.

It is an arithmetic number, because the mean of its divisors is an integer number (221195887668).

Almost surely, 2^{10211011121010} is an apocalyptic number.

10211011121010 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 10211011121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156536810752).

10211011121010 is an abundant number, since it is smaller than the sum of its proper divisors (18102062500494).

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

10211011121010 is a wasteful number, since it uses less digits than its factorization.

10211011121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483988.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10211011121010 its reverse (1012111011201), we get a palindrome (11223122132211).

The spelling of 10211011121010 in words is "ten trillion, two hundred eleven billion, eleven million, one hundred twenty-one thousand, ten".