101201022001 has 6 divisors (see below), whose sum is σ = 106807727202. Its totient is φ = 95874652080.

The previous prime is 101201021983. The next prime is 101201022019. The reversal of 101201022001 is 100220102101.

It is an interprime number because it is at equal distance from previous prime (101201021983) and next prime (101201022019).

It can be written as a sum of positive squares in only one way, i.e., 81539373601 + 19661648400 = 285551^2 + 140220^2 .

It is not a de Polignac number, because 101201022001 - 2⁹ = 101201021489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201022031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140167260 + ... + 140167981.

It is an arithmetic number, because the mean of its divisors is an integer number (17801287867).

Almost surely, 2^101201022001 is an apocalyptic number.

It is an amenable number.

101201022001 is a deficient number, since it is larger than the sum of its proper divisors (5606705201).

101201022001 is an equidigital number, since it uses as much as digits as its factorization.

101201022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280335279 (or 280335260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101201022001 its reverse (100220102101), we get a palindrome (201421124102).

The spelling of 101201022001 in words is "one hundred one billion, two hundred one million, twenty-two thousand, one".