101211021001121 has 8 divisors (see below), whose sum is σ = 101446284297600. Its totient is φ = 100975759719120.

The previous prime is 101211021001081. The next prime is 101211021001133. The reversal of 101211021001121 is 121100120112101.

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 101211021001121 - 2²² = 101211016806817 is a prime.

It is a super-2 number, since 2×101211021001121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101211021001096 and 101211021001105.

It is not an unprimeable number, because it can be changed into a prime (101211021001141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157886870 + ... + 158526608.

It is an arithmetic number, because the mean of its divisors is an integer number (12680785537200).

Almost surely, 2^{101211021001121} is an apocalyptic number.

It is an amenable number.

101211021001121 is a deficient number, since it is larger than the sum of its proper divisors (235263296479).

101211021001121 is an equidigital number, since it uses as much as digits as its factorization.

101211021001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007239.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101211021001121 its reverse (121100120112101), we get a palindrome (222311141113222).

The spelling of 101211021001121 in words is "one hundred one trillion, two hundred eleven billion, twenty-one million, one thousand, one hundred twenty-one".