1210001121001 has 8 divisors (see below), whose sum is σ = 1211580770120. Its totient is φ = 1208421929088.

The previous prime is 1210001120981. The next prime is 1210001121031. The reversal of 1210001121001 is 1001211000121.

It can be written as a sum of positive squares in 4 ways, for example, as 567085808601 + 642915312400 = 753051^2 + 801820^2 .

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 1210001121001 - 2¹⁷ = 1210000989929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1210001121031) 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, 5352085 + ... + 5573581.

It is an arithmetic number, because the mean of its divisors is an integer number (151447596265).

Almost surely, 2^{1210001121001} is an apocalyptic number.

It is an amenable number.

1210001121001 is a deficient number, since it is larger than the sum of its proper divisors (1579649119).

1210001121001 is an equidigital number, since it uses as much as digits as its factorization.

1210001121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228603.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1210001121001 its reverse (1001211000121), we get a palindrome (2211212121122).

The spelling of 1210001121001 in words is "one trillion, two hundred ten billion, one million, one hundred twenty-one thousand, one".