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10001121202221 = 337617178381901
BaseRepresentation
bin1001000110001001000101…
…0001101101000000101101
31022102002122022222020010120
42101202101101231000231
52302324244011432341
633134241320155153
72051362051404402
oct221422121550055
938362568866116
1010001121202221
1132064a720a926
12115634b308ab9
135771425208a6
142680b1dca2a9
151252435b6066
hex9189146d02d

10001121202221 has 32 divisors (see below), whose sum is σ = 13725286549248. Its totient is φ = 6472988121600.

The previous prime is 10001121202199. The next prime is 10001121202253. The reversal of 10001121202221 is 12220212110001.

It is not a de Polignac number, because 10001121202221 - 226 = 10001054093357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001121202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121202291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122071371 + ... + 122153271.

It is an arithmetic number, because the mean of its divisors is an integer number (428915204664).

Almost surely, 210001121202221 is an apocalyptic number.

It is an amenable number.

10001121202221 is a deficient number, since it is larger than the sum of its proper divisors (3724165347027).

10001121202221 is a wasteful number, since it uses less digits than its factorization.

10001121202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84341.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10001121202221 its reverse (12220212110001), we get a palindrome (22221333312222).

The spelling of 10001121202221 in words is "ten trillion, one billion, one hundred twenty-one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 37 111 617 1783 1851 5349 22829 65971 68487 81901 197913 245703 1100111 3030337 3300333 9091011 40704107 50532917 122112321 146029483 151598751 438088449 1869717929 5403090871 5609153787 16209272613 90100191011 270300573033 3333707067407 10001121202221