101221001212001 has 16 divisors (see below), whose sum is σ = 110968474803648. Its totient is φ = 91564629811200.

The previous prime is 101221001211989. The next prime is 101221001212069. The reversal of 101221001212001 is 100212100122101.

It is a cyclic number.

It is not a de Polignac number, because 101221001212001 - 2¹⁸ = 101221000949857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221001262001) 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, 7221545 + ... + 15955961.

It is an arithmetic number, because the mean of its divisors is an integer number (6935529675228).

Almost surely, 2^{101221001212001} is an apocalyptic number.

101221001212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221001212001 is a deficient number, since it is larger than the sum of its proper divisors (9747473591647).

101221001212001 is a wasteful number, since it uses less digits than its factorization.

101221001212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8739632.

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

Adding to 101221001212001 its reverse (100212100122101), we get a palindrome (201433101334102).

The spelling of 101221001212001 in words is "one hundred one trillion, two hundred twenty-one billion, one million, two hundred twelve thousand, one".