101000100012 has 24 divisors (see below), whose sum is σ = 269333600256. Its totient is φ = 28857171408.

The previous prime is 101000100007. The next prime is 101000100013. The reversal of 101000100012 is 210001000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (101000100013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601190988 + ... + 601191155.

It is an arithmetic number, because the mean of its divisors is an integer number (11222233344).

Almost surely, 2^101000100012 is an apocalyptic number.

101000100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000100012 is an abundant number, since it is smaller than the sum of its proper divisors (168333500244).

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

101000100012 is a wasteful number, since it uses less digits than its factorization.

101000100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202382157 (or 1202382155 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101000100012 its reverse (210001000101), we get a palindrome (311001100113).

The spelling of 101000100012 in words is "one hundred one billion, one hundred thousand, twelve".