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10020221212001 = 7211134391325673
BaseRepresentation
bin1001000111010000001110…
…1110011101010101100001
31022110220221110000020220012
42101310003232131111201
52303132403112241001
633151120455454305
72052636264663200
oct221640356352541
938426843006805
1010020221212001
113213608713980
121159b9b987395
13578b97606420
14268da4959237
151259b03082bb
hex91d03b9d561

10020221212001 has 48 divisors (see below), whose sum is σ = 13697129351808. Its totient is φ = 7205688403200.

The previous prime is 10020221211983. The next prime is 10020221212007. The reversal of 10020221212001 is 10021212202001.

It is not a de Polignac number, because 10020221212001 - 238 = 9745343305057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10020221212007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30604901 + ... + 30930573.

It is an arithmetic number, because the mean of its divisors is an integer number (285356861496).

Almost surely, 210020221212001 is an apocalyptic number.

10020221212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10020221212001 is a deficient number, since it is larger than the sum of its proper divisors (3676908139807).

10020221212001 is a wasteful number, since it uses less digits than its factorization.

10020221212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330102 (or 330095 counting only the distinct ones).

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

Adding to 10020221212001 its reverse (10021212202001), we get a palindrome (20041433414002).

The spelling of 10020221212001 in words is "ten trillion, twenty billion, two hundred twenty-one million, two hundred twelve thousand, one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 4391 7007 30737 48301 57083 215159 325673 338107 399581 627913 2279711 2366749 2797067 3582403 4233749 4395391 15957977 25076821 29636243 30767737 46571239 175537747 207453701 325998673 1430030143 2281990711 10010211001 15730331573 18590391859 70071477007 110112321011 130132743013 204494310449 770786247077 910929201091 1431460173143 10020221212001