101210211201121 has 8 divisors (see below), whose sum is σ = 111504319092288. Its totient is φ = 91098299910000.

The previous prime is 101210211201101. The next prime is 101210211201131. The reversal of 101210211201121 is 121102112012101.

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 101210211201121 - 2¹¹ = 101210211199073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101210211201095 and 101210211201104.

It is not an unprimeable number, because it can be changed into a prime (101210211201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45549148845 + ... + 45549151066.

It is an arithmetic number, because the mean of its divisors is an integer number (13938039886536).

Almost surely, 2^{101210211201121} is an apocalyptic number.

101210211201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101210211201121 is a deficient number, since it is larger than the sum of its proper divisors (10294107891167).

101210211201121 is a wasteful number, since it uses less digits than its factorization.

101210211201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91098300023.

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

Adding to 101210211201121 its reverse (121102112012101), we get a palindrome (222312323213222).

The spelling of 101210211201121 in words is "one hundred one trillion, two hundred ten billion, two hundred eleven million, two hundred one thousand, one hundred twenty-one".