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1201022201021 = 10199011201021
BaseRepresentation
bin10001011110100010100…
…000000110110010111101
311020211001022011022011112
4101132202200012302331
5124134143140413041
62315424133531405
7152525310160646
oct21364240066275
94224038138145
101201022201021
114233947a3925
12174923aa3b65
13893432c9096
14421b61b46cd
1521394804deb
hex117a2806cbd

1201022201021 has 8 divisors (see below), whose sum is σ = 1213037024088. Its totient is φ = 1189009800000.

The previous prime is 1201022201017. The next prime is 1201022201047.

1201022201021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 547489005625 + 653533195396 = 739925^2 + 808414^2 .

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 1201022201021 - 22 = 1201022201017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1201022200987 and 1201022201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201022201321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399491 + ... + 1600511.

It is an arithmetic number, because the mean of its divisors is an integer number (151629628011).

Almost surely, 21201022201021 is an apocalyptic number.

It is an amenable number.

1201022201021 is a deficient number, since it is larger than the sum of its proper divisors (12014823067).

1201022201021 is a wasteful number, since it uses less digits than its factorization.

1201022201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211023.

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 1201022201021 in words is "one trillion, two hundred one billion, twenty-two million, two hundred one thousand, twenty-one".

Divisors: 1 101 9901 1000001 1201021 121303121 11891308921 1201022201021