100101101022001 has 4 divisors (see below), whose sum is σ = 102429033603952. Its totient is φ = 97773168440052.

The previous prime is 100101101021981. The next prime is 100101101022029. The reversal of 100101101022001 is 100220101101001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100101101022001 - 2¹⁷ = 100101100890929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101101022031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1163966290911 + ... + 1163966290996.

It is an arithmetic number, because the mean of its divisors is an integer number (25607258400988).

Almost surely, 2^{100101101022001} is an apocalyptic number.

It is an amenable number.

100101101022001 is a deficient number, since it is larger than the sum of its proper divisors (2327932581951).

100101101022001 is an equidigital number, since it uses as much as digits as its factorization.

100101101022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327932581950.

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

Adding to 100101101022001 its reverse (100220101101001), we get a palindrome (200321202123002).

The spelling of 100101101022001 in words is "one hundred trillion, one hundred one billion, one hundred one million, twenty-two thousand, one".