101221121001 has 128 divisors (see below), whose sum is σ = 186496966656. Its totient is φ = 47126292480.

The previous prime is 101221120909. The next prime is 101221121011. The reversal of 101221121001 is 100121122101.

It is not a de Polignac number, because 101221121001 - 2¹¹ = 101221118953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221121011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95221596 + ... + 95222658.

It is an arithmetic number, because the mean of its divisors is an integer number (1457007552).

Almost surely, 2^101221121001 is an apocalyptic number.

101221121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221121001 is a deficient number, since it is larger than the sum of its proper divisors (85275845655).

101221121001 is a wasteful number, since it uses less digits than its factorization.

101221121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101221121001 its reverse (100121122101), we get a palindrome (201342243102).

It can be divided in two parts, 101221 and 121001, that added together give a palindrome (222222).

The spelling of 101221121001 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, one".