101101000200012 has 36 divisors (see below), whose sum is σ = 255656973502840. Its totient is φ = 33687659305152.

The previous prime is 101101000199989. The next prime is 101101000200017. The reversal of 101101000200012 is 210002000101101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 101101000199967 and 101101000200003.

It is not an unprimeable number, because it can be changed into a prime (101101000200017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527990233 + ... + 528181680.

Almost surely, 2^{101101000200012} is an apocalyptic number.

101101000200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101000200012 is an abundant number, since it is smaller than the sum of its proper divisors (154555973302828).

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

101101000200012 is a wasteful number, since it uses less digits than its factorization.

101101000200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056174582 (or 1056174577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101101000200012 its reverse (210002000101101), we get a palindrome (311103000301113).

The spelling of 101101000200012 in words is "one hundred one trillion, one hundred one billion, two hundred thousand, twelve".