10011211020100 has 36 divisors (see below), whose sum is σ = 21798472441284. Its totient is φ = 3990817214080.

The previous prime is 10011211020091. The next prime is 10011211020143. The reversal of 10011211020100 is 102011211001.

10011211020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2316490088004 + 7694720932096 = 1522002^2 + 2773936^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170810479 + ... + 170869078.

It is an arithmetic number, because the mean of its divisors is an integer number (605513123369).

Almost surely, 2^{10011211020100} is an apocalyptic number.

10011211020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011211020100 is an abundant number, since it is smaller than the sum of its proper divisors (11787261421184).

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

10011211020100 is a wasteful number, since it uses less digits than its factorization.

10011211020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341679864 (or 341679857 counting only the distinct ones).

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

Adding to 10011211020100 its reverse (102011211001), we get a palindrome (10113222231101).

The spelling of 10011211020100 in words is "ten trillion, eleven billion, two hundred eleven million, twenty thousand, one hundred".