101011221022001 has 8 divisors (see below), whose sum is σ = 102484851225408. Its totient is φ = 99539005734000.

The previous prime is 101011221021989. The next prime is 101011221022003. The reversal of 101011221022001 is 100220122110101.

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

It is a cyclic number.

It is not a de Polignac number, because 101011221022001 - 2³⁴ = 100994041152817 is a prime.

It is a super-3 number, since 3×101011221022001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011221022003) 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, 353585030 + ... + 353870591.

It is an arithmetic number, because the mean of its divisors is an integer number (12810606403176).

Almost surely, 2^{101011221022001} is an apocalyptic number.

It is an amenable number.

101011221022001 is a deficient number, since it is larger than the sum of its proper divisors (1473630203407).

101011221022001 is an equidigital number, since it uses as much as digits as its factorization.

101011221022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707457703.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011221022001 its reverse (100220122110101), we get a palindrome (201231343132102).

The spelling of 101011221022001 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, twenty-two thousand, one".