100000101201 has 128 divisors (see below), whose sum is σ = 187146215424. Its totient is φ = 45783429120.

The previous prime is 100000101197. The next prime is 100000101203. The reversal of 100000101201 is 102101000001.

It is not a de Polignac number, because 100000101201 - 2² = 100000101197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000101201.

It is not an unprimeable number, because it can be changed into a prime (100000101203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53389401 + ... + 53391273.

It is an arithmetic number, because the mean of its divisors is an integer number (1462079808).

Almost surely, 2^100000101201 is an apocalyptic number.

100000101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000101201 is a deficient number, since it is larger than the sum of its proper divisors (87146114223).

100000101201 is a wasteful number, since it uses less digits than its factorization.

100000101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703.

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

Adding to 100000101201 its reverse (102101000001), we get a palindrome (202101101202).

The spelling of 100000101201 in words is "one hundred billion, one hundred one thousand, two hundred one".