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121002220022101 = 117313113761313697
BaseRepresentation
bin11011100000110100000110…
…010101110110100101010101
3120212102200212202120021020021
4123200310012111312211111
5111330000021311201401
61105203352534105141
734326056545622635
oct3340640625664525
9525380782507207
10121002220022101
1135611831754610
12116a305a7ab1b1
1352695ca617352
1421c47782866c5
15dec82ac412a1
hex6e0d06576955

121002220022101 has 64 divisors (see below), whose sum is σ = 136047797842176. Its totient is φ = 106698896179200.

The previous prime is 121002220022053. The next prime is 121002220022113. The reversal of 121002220022101 is 101220022200121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121002220022101 - 233 = 120993630087509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002220022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8834206485 + ... + 8834220181.

It is an arithmetic number, because the mean of its divisors is an integer number (2125746841284).

Almost surely, 2121002220022101 is an apocalyptic number.

121002220022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121002220022101 is a deficient number, since it is larger than the sum of its proper divisors (15045577820075).

121002220022101 is a wasteful number, since it uses less digits than its factorization.

121002220022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14662.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121002220022101 its reverse (101220022200121), we get a palindrome (222222242222222).

The spelling of 121002220022101 in words is "one hundred twenty-one trillion, two billion, two hundred twenty million, twenty-two thousand, one hundred one".

Divisors: 1 11 73 131 137 613 803 1441 1507 6743 9563 10001 13697 17947 44749 80303 83981 105193 110011 150667 197417 492239 883333 923791 999881 1310131 1794307 1876489 5862119 6130613 8396261 10998691 11001511 14411441 19737377 20641379 64483309 67436743 92358871 121016621 130984411 136983697 245820059 612927053 803110303 1099910191 1150287757 1440828521 1506820667 2704020649 6742197583 8834213333 12099012101 12653165327 17944864307 80293443943 83971006261 150687696167 197393507377 883227883373 923681068871 1657564657837 11000201820191 121002220022101