101211110100001 has 8 divisors (see below), whose sum is σ = 116223284325600. Its totient is φ = 87167463243840.

The previous prime is 101211110099917. The next prime is 101211110100007. The reversal of 101211110100001 is 100001011112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101211110100001 - 2¹³ = 101211110091809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101211110100007) 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, 242131842136 + ... + 242131842553.

It is an arithmetic number, because the mean of its divisors is an integer number (14527910540700).

Almost surely, 2^{101211110100001} is an apocalyptic number.

101211110100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211110100001 is a deficient number, since it is larger than the sum of its proper divisors (15012174225599).

101211110100001 is a wasteful number, since it uses less digits than its factorization.

101211110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484263684719.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101211110100001 its reverse (100001011112101), we get a palindrome (201212121212102).

The spelling of 101211110100001 in words is "one hundred one trillion, two hundred eleven billion, one hundred ten million, one hundred thousand, one".