100210101201001 has 16 divisors (see below), whose sum is σ = 119742108762240. Its totient is φ = 82784667777280.

The previous prime is 100210101200983. The next prime is 100210101201031. The reversal of 100210101201001 is 100102101012001.

It is not a de Polignac number, because 100210101201001 - 2⁷ = 100210101200873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210101201031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9239354821 + ... + 9239365666.

It is an arithmetic number, because the mean of its divisors is an integer number (7483881797640).

Almost surely, 2^{100210101201001} is an apocalyptic number.

100210101201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210101201001 is a deficient number, since it is larger than the sum of its proper divisors (19532007561239).

100210101201001 is a wasteful number, since it uses less digits than its factorization.

100210101201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18478720544.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100210101201001 its reverse (100102101012001), we get a palindrome (200312202213002).

The spelling of 100210101201001 in words is "one hundred trillion, two hundred ten billion, one hundred one million, two hundred one thousand, one".