10012211010100 has 144 divisors (see below), whose sum is σ = 23865048007920. Its totient is φ = 3623137689600.

The previous prime is 10012211010097. The next prime is 10012211010119. The reversal of 10012211010100 is 101011221001.

It can be written as a sum of positive squares in 24 ways, for example, as 9870693598756 + 141517411344 = 3141766^2 + 376188^2 .

It is a super-3 number, since 3×10012211010100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63929890 + ... + 64086310.

It is an arithmetic number, because the mean of its divisors is an integer number (165729500055).

Almost surely, 2^{10012211010100} is an apocalyptic number.

10012211010100 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 10012211010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11932524003960).

10012211010100 is an abundant number, since it is smaller than the sum of its proper divisors (13852836997820).

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

10012211010100 is a wasteful number, since it uses less digits than its factorization.

10012211010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157430 (or 157423 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10012211010100 its reverse (101011221001), we get a palindrome (10113222231101).

It can be divided in two parts, 10012 and 211010100, that added together give a palindrome (211020112).

The spelling of 10012211010100 in words is "ten trillion, twelve billion, two hundred eleven million, ten thousand, one hundred".