101020001221 has 8 divisors (see below), whose sum is σ = 107421424344. Its totient is φ = 94669585920.

The previous prime is 101020001213. The next prime is 101020001279. The reversal of 101020001221 is 122100020101.

It can be written as a sum of positive squares in 4 ways, for example, as 1435576321 + 99584424900 = 37889^2 + 315570^2 .

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 101020001221 - 2³ = 101020001213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020001198 and 101020001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020004221) 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, 12747870 + ... + 12755791.

It is an arithmetic number, because the mean of its divisors is an integer number (13427678043).

Almost surely, 2^101020001221 is an apocalyptic number.

It is an amenable number.

101020001221 is a deficient number, since it is larger than the sum of its proper divisors (6401423123).

101020001221 is a wasteful number, since it uses less digits than its factorization.

101020001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25503911.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020001221 its reverse (122100020101), we get a palindrome (223120021322).

The spelling of 101020001221 in words is "one hundred one billion, twenty million, one thousand, two hundred twenty-one".