101221140021001 has 216 divisors, whose sum is σ = 142979594913792. Its totient is φ = 71349204326400.

The previous prime is 101221140020953. The next prime is 101221140021007. The reversal of 101221140021001 is 100120041122101.

It is not a de Polignac number, because 101221140021001 - 2²¹ = 101221137923849 is a prime.

It is a super-5 number, since 5×101221140021001⁵ (a number of 71 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221140021007) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10010986936 + ... + 10010997046.

Almost surely, 2^{101221140021001} is an apocalyptic number.

101221140021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221140021001 is a deficient number, since it is larger than the sum of its proper divisors (41758454892791).

101221140021001 is a wasteful number, since it uses less digits than its factorization.

101221140021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373 (or 10342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101221140021001 its reverse (100120041122101), we get a palindrome (201341181143102).

The spelling of 101221140021001 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred forty million, twenty-one thousand, one".