100101201012 has 18 divisors (see below), whose sum is σ = 253033591538. Its totient is φ = 33367066992.

The previous prime is 100101200999. The next prime is 100101201043. The reversal of 100101201012 is 210102101001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 92285933796 + 7815267216 = 303786^2 + 88404^2 .

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 = 100101200985 and 100101201003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390294423 + ... + 1390294494.

Almost surely, 2^100101201012 is an apocalyptic number.

100101201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101201012 is an abundant number, since it is smaller than the sum of its proper divisors (152932390526).

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

100101201012 is a wasteful number, since it uses less digits than its factorization.

100101201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780588927 (or 2780588922 counting only the distinct ones).

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

Adding to 100101201012 its reverse (210102101001), we get a palindrome (310203302013).

The spelling of 100101201012 in words is "one hundred billion, one hundred one million, two hundred one thousand, twelve".