101220012121001 has 8 divisors (see below), whose sum is σ = 101614312418760. Its totient is φ = 100825919630208.

The previous prime is 101220012120967. The next prime is 101220012121021. The reversal of 101220012121001 is 100121210022101.

It can be written as a sum of positive squares in 4 ways, for example, as 56866756410025 + 44353255710976 = 7541005^2 + 6659824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101220012121001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101220012121021) 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, 50975636 + ... + 52924053.

It is an arithmetic number, because the mean of its divisors is an integer number (12701789052345).

Almost surely, 2^{101220012121001} is an apocalyptic number.

It is an amenable number.

101220012121001 is a deficient number, since it is larger than the sum of its proper divisors (394300297759).

101220012121001 is a wasteful number, since it uses less digits than its factorization.

101220012121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103903483.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101220012121001 its reverse (100121210022101), we get a palindrome (201341222143102).

The spelling of 101220012121001 in words is "one hundred one trillion, two hundred twenty billion, twelve million, one hundred twenty-one thousand, one".