101220232101001 has 16 divisors (see below), whose sum is σ = 113927773654800. Its totient is φ = 89282173575168.

The previous prime is 101220232100959. The next prime is 101220232101019. The reversal of 101220232101001 is 100101232022101.

It can be written as a sum of positive squares in 8 ways, for example, as 15411505211001 + 85808726890000 = 3925749^2 + 9263300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101220232101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101220232101301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383925696 + ... + 1383998833.

It is an arithmetic number, because the mean of its divisors is an integer number (7120485853425).

Almost surely, 2^{101220232101001} is an apocalyptic number.

It is an amenable number.

101220232101001 is a deficient number, since it is larger than the sum of its proper divisors (12707541553799).

101220232101001 is a wasteful number, since it uses less digits than its factorization.

101220232101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767924668.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101220232101001 its reverse (100101232022101), we get a palindrome (201321464123102).

The spelling of 101220232101001 in words is "one hundred one trillion, two hundred twenty billion, two hundred thirty-two million, one hundred one thousand, one".