10101100011012 has 18 divisors (see below), whose sum is σ = 25533336139038. Its totient is φ = 3367033336992.

The previous prime is 10101100011011. The next prime is 10101100011019. The reversal of 10101100011012 is 21011000110101.

10101100011012 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 only one way, i.e., 9342277832196 + 758822178816 = 3056514^2 + 871104^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 10101100010985 and 10101100011003.

It is not an unprimeable number, because it can be changed into a prime (10101100011011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140293055673 + ... + 140293055744.

It is an arithmetic number, because the mean of its divisors is an integer number (1418518674391).

Almost surely, 2^{10101100011012} is an apocalyptic number.

10101100011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101100011012 is an abundant number, since it is smaller than the sum of its proper divisors (15432236128026).

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

10101100011012 is a wasteful number, since it uses less digits than its factorization.

10101100011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280586111427 (or 280586111422 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101100011012 its reverse (21011000110101), we get a palindrome (31112100121113).

The spelling of 10101100011012 in words is "ten trillion, one hundred one billion, one hundred million, eleven thousand, twelve".