101021211220121 has 8 divisors (see below), whose sum is σ = 101096666942280. Its totient is φ = 100945758235392.

The previous prime is 101021211220109. The next prime is 101021211220151. The reversal of 101021211220121 is 121022112120101.

It can be written as a sum of positive squares in 4 ways, for example, as 18844810605721 + 82176400614400 = 4341061^2 + 9065120^2 .

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 101021211220121 - 2⁴² = 96623164709017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101021211220121.

It is not an unprimeable number, because it can be changed into a prime (101021211220151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76387535 + ... + 77698763.

It is an arithmetic number, because the mean of its divisors is an integer number (12637083367785).

Almost surely, 2^{101021211220121} is an apocalyptic number.

It is an amenable number.

101021211220121 is a deficient number, since it is larger than the sum of its proper divisors (75455722159).

101021211220121 is a wasteful number, since it uses less digits than its factorization.

101021211220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368715.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101021211220121 its reverse (121022112120101), we get a palindrome (222043323340222).

The spelling of 101021211220121 in words is "one hundred one trillion, twenty-one billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty-one".